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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.

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.

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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