. If f(x)=x^2+2x-5 , evaluate f(x+4) a. x^2+2x+19 b. x^2+6x+11 c. x^2+10x+19 d. x^2+4x+29

Question

Answer 1

To evaluate \( f(x+4) \) for the function \( f(x) = x^2 + 2x - 5 \), we need to substitute

into the function in place of

.1. Start with the original function:

2. Substitute

for

:

3. Expand \( (x+4)^2 \):

4. Expand \( 2(x+4) \):

5. Substitute these expansions back into the expression for \( f(x+4) \):

6. Combine like terms:

Therefore, the correct answer is:c.

Question