Answers
Answer:
a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) [tex]\mathbf{f(g(9))=16}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]
We need to find [tex]a) f(g(x))\\b) f(g(9))[/tex]
a) First finding: [tex]f(g(x))[/tex]
It can be found by putting the value of g(x) into f(x)
We are given:
[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]
SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) Now finding: [tex]f(g(9))[/tex]
It can be found by putting x=9 in f(g(x))
We have:
[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]
So, we get: [tex]\mathbf{f(g(9))=16}[/tex]
Related Questions
What is a simplified expression term for -10f + -9f + 7
Answers
Answer:
-19f + 7
Step-by-step explanation:
group the fs
-19f + 7
is the simple expression
Right answer only pleaseeee
Answers
Answer:
A,C,E
Step-by-step explanation:
Answer:
B. n ≥ -24.
D. The circle is closed.
E. The arrow points right.
Step-by-step explanation:
Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.
(-2/3 * -3/2)n ≤ 16(-3/2)
n ≥ 16(-3/2)
Step 2: Express 16(-3/2) as a single fraction.
n ≥ 16(-3)/2
Step 3: Multiply 16 by -3 to get -48.
n ≥ -48/2
Final Step: Divide -48 by 2 to get -24.
n ≥ -24 is the final answer.
With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).
2.) A car rental company is charging a
$50 rental fee and then $0.17 per mile.
.
Write an expression that represents the
total cost of renting a car for a day using
m for number of miles.
If Kane traveled 55 miles, how much
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Answers
Answer:
y=0.17x+50. His trip cost $50.85
Step-by-step explanation:
how to solve proportions
Answers
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."Given mn, find the value of x.
+
(x-3)
(8x+3)
Answers
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
7 lbs of dog food cost $6.30. What is the unit price? 20 points-
Answers
Answer: 9 cents
Step-by-step explanation: 6.30 divided by 7 is 0.9
Find m∠1.
help me answer this pls
Answers
Answer:
50 degrees
Step-by-step explanation:
Since the two lines are parallel, we know that the other angle above angle 1 is also 130, because corresponding angles are congruent. Next, since we know that it sits on a line, we know that angle 1 and 130 make a linear pair, or add up to 180 degrees. 180-130= angle 1. So angle 1 is 50 degrees. Sorry if the explanation is a bit funky.
Distance between (-9,-6) and (-6,-8)
Answers
Answer:
The distance is....
5
Step-by-step explanation:
Please help me answer this question thank you.
Answers
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
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Answers
Answer:
(2,-3)
Step-by-step explanation:
I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol
PLEASE HELP GIVING BRAINLIEST!!! INTERNET Kilroy's Web site business has increased every year for the last 3 years. Write the percent its increase during the second year as a decimal and as a fraction in lowest terms.
Answers
Answer:
1.15
Step-by-step explanation:
when you have a % above 100 you divide that by 100 so it's 115 divided by 100 which is 1.15
Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answers
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)
a
|-80 - 15| = |-95| = -95 units
b
|-80 + 15| = |-65| = 65 units
c
|-80 - 15| = |-95| = 95 units
d
|-80 + 15| = |-65| = -65 units
Answers
Answer:
it's answer is b
|-80+15| = |-65| = 65 units
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This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.
so,answer-b
Fun fact
Bananas are curved because they grow towards the sun ☀️
Answers
Answer:
true
Step-by-step explanation:
27) Solve: x – 9 = 20
28) Solve: 1/3 x 5/8
29) Solve: 4 x 4 x 4 = ?
Answers
Answer:
bghjgkk7686968679
hjkggkhk67896869
ghjkgh
Step-by-step explanation:
hjkh7689
Answer:
29, 5/24 ,64
Step-by-step explanation:
27) x-9=20
x=20+9
x=29
28) 1/3*5/8
1*5/3*8
5/24
29) 4*4*4
4*4=16
16*4
64
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
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r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
Answers
Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
Answers
Answer:
18 feet long
Step-by-step explanation:
252 ÷ 14 = 18
:)
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Answers
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5
wich fractions are equivalent to 40% check all that apply
Answers
Answer:
[tex]\frac{2}{5} = \frac{8}{20} = \frac{4}{10} = \frac{16}{40} = 40\% = \frac{40}{100} [/tex]
hope this helps.
Simplify the expression below:
5(2x - 4y)
Answers
Answer:
10x-20y
Step-by-step explanation:
5 x 2x - 5 x 4y
10x - 20y
Answer:
10 • (x - 2y)
Step-by-step explanation:
Pull out like factors :
2x - 4y = 2 • (x - 2y)
Final Result:
10 • (x - 2y)
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Answers
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
what are the missing reasons in the proof. im having an hard time with this.
Answers
Answer:
Please see below
Step-by-step explanation:
Step 3: Definition of parallelogram
Step 4: Alternate internal angles between parallel lines AB // CD
Step 5: Reflexive property of congruence
Step 6: ASA theorem
Use the distributive property to rewrite the expression -3 + 9(-4x + 4)
Answers
Answer:
-3(-11+12x)
Step-by-step explanation:
that should be the answer
Find the value of x in the triangle shown below choose 1 answer
Answers
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
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George rented a bike for 4 hours there was a $10 deposit to pay in addition to the hourly rate what is the hourly rate if the total came to less than or equal to $65...
Answers
Answer:
y=13.75x+10
Step-by-step explanation:
65-10=55
55 divided by 4 is 13.75
Answer:
y=13.75x+10
Step-by-step explanation:
65-10=55
55 divided by 4 is 13.75
¡Please answer!
¿What is a circle?.
Answers
Answer:
A circle is a shape.
Step-by-step explanation:
In geometry circles are known for you to solve the radius wit the formula A= π r^2
A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Can someone tell just the answer
Answers
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
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Answers
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Answers
Answer:
18000000 km
Step-by-step explanation:
25000*24*30=18000000
Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.
Answers
Answer:
1/11>x
Step-by-step explanation:
4−23x>2−x
+23x to both sides
4>2+22x
-2 from both sides
2>22x
Divide by 22
1/11>x