inverse of f(x)=9(x-2) — step-by-step solution

We have:

y = 9 x - 18

The slope

9

is nonzero: the function is bijective on ℝ

⇥Let's solve in

ℝ

9 x - 18 = y

⇥

9 x = y + 18

⇥Solution obtained:

x = \frac{y + 18}{9}

Renaming the output variable

y

x

, the inverse is

f⁻¹ (x) = \frac{x + 18}{9}

, defined on ℝ

▶Inverse function:

\frac{x + 18}{9}