Let f(x)=3-2x and g(x)=5-xexponent2 find the composites

Question

(Fºg)(x)=

(f º g)(4)=

(g º f)(x)=

Answer 1

(Fºg)(x) = F(g(x)) = 3-2(5 - xexponent2) = 3 - 10 - 2*xexponent2 = -7 - 2*xexponent2

(f º g)(4)= F(g(4)) = 3 - 2(5 - (4)exponent2) = 3 - 2(5 - 16) = 3 - 2*-11 = -19

(g º f)(x)= G(f(x)) = 5 - (3 - 2x)exponent2 = 5 - (9 - 12x + 4xexponent) = -4 + 12x - 20*xexponent