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

User Dmytro Krasnikov
by
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1 Answer

2 votes

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

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

User Aminur Rashid
by
4.1k points
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