What is the inverse of the function f(x) =1\9 x + 2? h(x) = 18x – 2 h(x) = 9x – 18 h(x) = 9x + 18 h(x) = 18x + 2

B) h(x) = 9x  - 18

Step-by-step explanation:

f(x) = 1/9 x + 2

y= 1/9 x + 2

To find the inverse function follow the steps.

Step 1:

Replace x by y and y by x.

x = 1/9 y + 2

Step 2: Write y interms of x

1/9 y = x - 2

Multiplying both sides by 9, we get

9*1/9 y = 9x - 2*9

y = 9x -18

Therefore, answer is  B) h(x) = 9x  - 18

Hope this will helpful.

Thank you.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct