Let f(x) = x2 − 3 and g(x) = 4x − 3. Find the value, if possible. (If not possible, enter IMPOSSIBLE.) (f − g)(−5) (f − g)(−5) =

Answer 1

f-g = x^2 - 4x

for x=-5, the difference function has value (-5)^2 - 4(-5) = 25 - -20 = 45

Note that f(-5) = (-5)^2 - 3 = 25 - 3 = 22 and g(-5) = 4*(-5) - 3 = -20 -3 = -23

so that f(-5)-g(-5) = 22 - -23 = 22 + 23 = 45