given that f(x)=

Question

Given that f(x)=3x−7 and g(x)=−2x2+5x−11, calculate f(g(−5)) and g(f(−1))

Answer 1

g(-5) = -2(-5)^2 + 5(-5) -11 = -50-25-11 =-86

f(-86) = 3(-86)-7 = -258-7 = -265

f(g(-5)) = -265

f(-1) = 3(-1)-7 = -10

g(-10 = -2(-10)^2 +5(-10)-11 = -200-50-11 = -261

g(f(-1)) = -261