Suppose f(x)=-8x+10 . while a=-8 and b=3 Compute the following: A.) f(a)+f(b)=square B.) f(a)-f(b)=square

To solve the given problem, we need to compute the values of \( f(a) \) and \( f(b) \) using the function \( f(x) = -8x + 10 \), and then use these values to find the required expressions.<br /><br />First, let's find \( f(a) \) and \( f(b) \):<br /><br />1. Calculate \( f(a) \):<br />\[ f(a) = f(-8) = -8(-8) + 10 = 64 + 10 = 74 \]<br /><br />2. Calculate \( f(b) \):<br />\[ f(b) = f(3) = -8(3) + 10 = -24 + 10 = -14 \]<br /><br />Now, we can use these values to compute the required expressions:<br /><br />A.) \( f(a) + f(b) \):<br />\[ f(a) + f(b) = 74 + (-14) = 74 - 14 = 60 \]<br /><br />B.) \( f(a) - f(b) \):<br />\[ f(a) - f(b) = 74 - (-14) = 74 + 14 = 88 \]<br /><br />So, the answers are:<br />A.) \( f(a) + f(b) = 60 \)<br />B.) \( f(a) - f(b) = 88 \)