Question

Use f(x) = 2x - 5 and g(x) = 3 - x² to evaluate the expression. (a) (f ∘ g)(-2) (b) (g ∘ f) (-2)

Answer 1

f(x)=2x-5

g(x)=3-x^2

Explanation:

a). (f•g)(_2)

= f(g(-2))

= f(3-(-2)^2)

= f(3-4)

= f(-1)

= 2*-1-5

= -2-5

= -7

b). (g•f)(-2)

= g(f(-2))

= g(2*(-2)-5)

= g(-4-5)

= g(-9)

= 3-(-9)^2

= 3-81

= 78