Final answer:
When f(x) is divided by x + 7, the quotient is x^2+2x-3+4x+7. To find f(-7), substitute -7 into the expression for the quotient and simplify and we get f(-7) is equal to 11.
Step-by-step explanation:
When f(x) is divided by x + 7, the quotient is x^2+2x-3+4x+7.
To find f(-7), we substitute -7 into the expression for the quotient:
f(-7) = (-7)^2+2(-7)-3+4(-7)+7
Simplifying the expression, we get:
f(-7) = 49-14-3-28+7
= 11
Therefore, f(-7) is equal to 11.