inverse of f(x)=50-4x — step-by-step solution

We have:

y = 50 - 4 x

The slope

-4

is nonzero: the function is bijective on ℝ

⇥Let's solve in

ℝ

50 - 4 x = y

⇥

50 - y = 4 x

⇥Solution obtained:

x = \frac{50 - y}{4}

Renaming the output variable

y

x

, the inverse is

f⁻¹ (x) = \frac{- x + 50}{4}

, defined on ℝ

▶Inverse function:

x = \frac{50 - y}{4}