6. 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

To evaluate \( f(x+4) \), we substitute into the function \( f(x) = x^2 + 2x - 5 \). Here's the step-by-step process:### Step 1: Substitute into \( f(x) \) ### Step 2: Expand \( (x+4)^2 \) So, ### Step 3: Distribute \( 2(x+4) \) Now, ### Step 4: Combine like terms ### Final Answer:The correct option is: