Math

QuestionFind g(x)g(x) for f(x)=x3f(x)=x^{3}, where g(x)=2f(x)1g(x)=2f(x)-1. What do you need help with?

Studdy Solution

STEP 1

Assumptions1. We have two functions, f(x)=x3f(x)=x^{3} and g(x)=f(x)1g(x)= f(x)-1 . We need to simplify the function g(x)g(x)

STEP 2

We know that f(x)=xf(x)=x^{}, and we are given g(x)=2f(x)1g(x)=2 f(x)-1. We can substitute f(x)f(x) into the equation for g(x)g(x).
g(x)=2f(x)1g(x) =2f(x) -1

STEP 3

Substitute f(x)f(x) into the equation for g(x)g(x).
g(x)=2x31g(x) =2x^{3} -1So, the simplified form of the function g(x)g(x) is g(x)=2x31g(x) =2x^{3} -1.

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