inverse of f(x)= 1/5 x-2 — step-by-step solution

We have:

y = \frac{x}{5} - 2

The slope

\frac{1}{5}

is nonzero: the function is bijective on ℝ

⇥Let's solve in

ℝ

y = \frac{x}{5} - 2

⇥

y + 2 = \frac{x}{5}

⇥

5 \cdot (y + 2) = x

⇥

x = 5 \cdot (y + 2)

⇥

x = 5 y + 5 \cdot 2

▶Solution obtained:

x = 5 y + 10