Question

What is the inverse of the function f(x) = 1/9x + 2?

Answer 1

9x–18

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Answer 2

h(x) = 9x-18 is the correct inverse function

Explanation:

f(x) -> y (first we need to rewrite the equation with y)

y= 1/9x+2 (next we need to solve for x)

y=1/9x

-2 -2 (subtract 2 from both sides)

y-2= 1/9x (multiply 9 on both sides

9y-18= x (and lastly switch back x and y)

y = 9x - 18 (if a real equation than write h(x) or
`f(x)^(-1)`, if not real equation keep it in y)

h(x) = 9x-18

Hope this helps!