Solve: let f(x)=2x-1 and g(x)=x^2-4. find g(f(x))

Eric Patrick asked Mar 15, 2023

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Eric Patrick asked Mar 15, 2023

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21 votes

Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3

JarkkoL answered Mar 20, 2023

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