Let f(x)= 2x+1 and g(x) = 3x^2-4

Question

find:

a) f^-1

b) gof (-2)

c) fog (x)

Answer 1

f^-1(x) = (x-1)/2
(g◦f)(-2) = g(f(-2)) = g(-3) = 23
(f◦g)(x) = f(g) = 2g+1 = 2(3x^2-4)+1 = 6x^2-7