Question

For f(x)=2x+1 and g(x)=x^2-7, find (f.g)(x)

Answer 1

Option C (in the figure) is correct.

Step-by-step explanation:

We need to find (f.g)(x)

Given that $f(x)=2x+1\\g(x)= x^2-7$

Now finding (f.g)(x)

$(f.g)(x)= f(x).g(x)$

$(f.g)(x)= (2x+1)(x^2-7)\\(f.g)(x)=2x(x^2-7)+1(x^2-7)\\(f.g)(x)=2x^3-14x+x^2-7\\(f.g)(x)=2x^3+x^2-14x-7$

So, $(f.g)(x)=2x^3+x^2-14x-7$

Option C (in the figure) is correct.

Learn more about Composite Functions at:

brainly.com/question/10772025

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Keywords: Composite function

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