Question

Given; g(x)= 8x - 2 What is the value of g⁻¹(30)

Answer 1

Answer:

$g^{-1}$(30) = 4

Step-by-step explanation:

g(x) = 8x -2

Let g(x) = y

y = 8x -2  (note: y is the range and x is the domain, we need to rearrange to make x the range and y the domain instead)

y + 2 = 8x

x = (1/8) (y + 2)

hence the inverse of g(x) is $g^{-1}$(y) = (1/8) (y + 2)

$g^{-1}$(30) = (1/8) (30 + 2) = 4