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.
Solution

4.7
(220 Votos)

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$.