Question

Select the equation that is the inverse of the given function.
f (x) = StartFraction x minus 3 Over 5 EndFraction

f Superscript negative 1 Baseline (x) = 5 x + 15

f Superscript negative 1 Baseline (x) = 5 x + 3

f Superscript negative 1 Baseline (x) = 3 x minus 5

f Superscript negative 1 Baseline (x) = negative five-thirds x

Answer 1

f(x) = (x − 3)/5. Set y = (x − 3)/5, swap x and y: x = (y − 3)/5 → 5x = y − 3 → y = 5x + 3.

So f⁻¹(x) = 5x + 3.