Question

Given f(x)=2x−6 and g(x)=f(x³), write an equation for function g(x) simplified.

a) g(x)=2x³−6

b) g(x)=2x³−18

c) g(x)=2x⁹−6

d) g(x)=2x−18

Answer 1

The equation for the function g(x) simplified is g(x) = 2x³ - 6.

Step-by-step explanation:

To find the equation for the function g(x) simplified, we need to substitute f(x³) into the function f(x).

Given that f(x) = 2x - 6, we substitute x³ into f(x), which gives us:

g(x) = 2(x³) - 6

Simplifying the equation for g(x), we get:

g(x) = 2x³ - 6