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If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))
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If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))

User Nitish Patel
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1 Answer

1 vote

Answer:


g(f(x))=(4x-1)^2+7=16\,x^2-8x+8

Explanation:

Given:


f(x)=4x-1\\and \\g(x)=x^2+7

Then the composition of functions:


g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8

where we have written the final functional expression in its standard form.

User Cheburek
by
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