Question

What is the inverse of the function f(x)

-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2

Answer 1

`h(x)= 9x - 18`

Explanation:

Given

`f(x) = (1)/(9)x + 2`

Required

The inverse

`f(x) = (1)/(9)x + 2`

Replace f(x) with y

`y = (1)/(9)x + 2`

Swap x and y

`x = (1)/(9)y + 2`

Subtract 2

`x - 2= (1)/(9)y`

Multiply 9

`9x - 18 = y`

Rewrite as:

`y = 9x - 18`

So:

`h(x)= 9x - 18`