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AlekseyPX
2 years ago
15

Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restric

tion.
g(f(x))

4 x2 + 1
16 x2 + 3
4 x2 + 7
16 x2 - 8 x + 3
Mathematics
1 answer:
Naya [18.7K]2 years ago
5 0

Answer:

3rd option

Step-by-step explanation:

substitute x = f(x) into g(x)

g(f(x))

= g(x² + 2)

= 4(x² + 2) - 1

= 4x² + 8 - 1

= 4x² + 7

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The sides of a square are 12 feet long. Find the new side<br> length after it is increased by 40%.
djyliett [7]

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16.80 ft long

Step-by-step explanation:

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2 years ago
Aisha recorded the heights, in centimetres, of some girls.
sertanlavr [38]

Answer:

The median is marked at 161cm instead of 162cm.

The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.

5 0
3 years ago
For the funtion f(x)= (x+7)^5, Find f^-1 (x)
quester [9]

Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

x=(y+7)^5

Now, solve for y

Taking 5th square root on both sides

\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7

Now, replace y with f^{-1} (x)

f^{-1} (x)=\sqrt[5]{x}+7

So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

6 0
3 years ago
A clipboard cost $2.23.It cost $0.58 more than a notebook.Lisa bought two clipboards and one notebook.She paid with a ten dollar
Katen [24]
First you'd subtract .58 from 2.23 to get the price of the notebook.

2.23 - .58 = 1.65

(2.23×2)+1.65= 6.11

Now subtract 6.11 from ten to figure out the change amount.

10 - 6.11 = 3.89
6 0
2 years ago
Read 3 more answers
Will mark brainlist if right
FinnZ [79.3K]

Answer:

x = 4.2

Step-by-step explanation:

tan 30° = x/7

tan 30° = 0.6

0.6 = x/7

7*0.6 = x

4.2 = x

5 0
3 years ago
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