Pergunta

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.
Solução

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Ana CarolinaEspecialista · Tutor por 3 anos
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To find (f-g)(-1), we need to evaluate f(-1)g(-1) first. Given f(x)=x^{2}-3, we can substitute x=-1 to get f(-1)=(-1)^{2}-3=1-3=-2. Given g(x)=4x+1, we can substitute x=-1 to get g(-1)=4(-1)+1=-4+1=-3. Now, we can find (f-g)(-1) by subtracting g(-1) from f(-1): (f-g)(-1)=f(-1)-g(-1)=-2-(-3)=-2+3=1. Therefore, the correct choice is A. (f-g)(-1)=1$.
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