The answer is: [A]: " -53 " . _______________________________________________________ Explanation: _______________________________________________________ Given:
" Let f(x) = -2x − 7 and g(x) = -4x + 3. Find (f o g)(-5) " ; _______________________________________________ First, find g(-5) . g(x) = -4x + 3.
g(-5) = -4*(-5) + 3 = 20 + 3 = 23 ; _______________________________________________ Now find f (g(-5) to get the answer; that is f(23); _______________________________________________ Find f(23). f(x) = -2x − 7 .
f(23) = (-2*23) − 7 = -46 − 7 = -53 ; which is "Answer choice: [A]" . _______________________________________________