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Question

Given that f(x)=x^2-3 and g(x)=4x+1 find (f-g)(-1) if it exists.
Select the correct choice below and, if necessary,fill in the answer box to complete your choice.
A. (f-g)(-1)=square  (Simplify your answer.)
B. The value for (f-g)(-1) does not exist.

Given that f(x)=x^2-3 and g(x)=4x+1 find (f-g)(-1) if it exists. Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. (f-g)(-1)=square (Simplify your answer.) B. The value for (f-g)(-1) does not exist.

Solution

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Ana Carolina Especialista · Tutor por 3 anos

Resposta

To find , we need to evaluate g(-1) f(x)=x^{2}-3 x=-1 f(-1)=(-1)^{2}-3=1-3=-2 g(x)=4x+1 x=-1 g(-1)=4(-1)+1=-4+1=-3 (f-g)(-1) g(-1) f(-1) (f-g)(-1)=f(-1)-g(-1)=-2-(-3)=-2+3=1 (f-g)(-1)=1$.