Question

Let f(x) = x^2 and g(x) = x − 3. evaluate (g ∘ f)(-2)

Answer 1

(g ∘ f)(-2) = 1

Explanation:

f(x)=x^2

g(x)=x-3

(g o f)(-2)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(x^2)

(g o f)(x)=(x^2)-3

(g o f)(x)=x^2-3

x=-2→(g o f)(-2)=(-2)^2-3

(g o f)(-2)=(-2)(-2)-3

(g o f)(-2)=4-3

(g o f)(-2)=1