Suppose \( f(x)=x^{2}+8 x+1 \). Compute the following: A.) \( f(-1)+f(4)= \) B.) \( f(-1)-f(4)=\square \) Question Help: Submit Question

To find \( f(-1) \) and \( f(4) \) for the function \( f(x)=x^{2}+8x+1 \): First, calculate \( f(-1) \): \[ f(-1) = (-1)^{2} + 8(-1) + 1 = 1 - 8 + 1 = -6. \] Now, calculate \( f(4) \): \[ f(4) = (4)^{2} + 8(4) + 1 = 16 + 32 + 1 = 49. \] Now compute \( f(-1) + f(4) \): \[ f(-1) + f(4) = -6 + 49 = 43. \] Next, compute \( f(-1) - f(4) \): \[ f(-1) - f(4) = -6 - 49 = -55. \] Thus, the answers are: A.) \( f(-1) + f(4) = 43 \) B.) \( f(-1) - f(4) = -55 \)