Question

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(−2).

Answer 1

(g ∘ f)(−2) = g(f(-2))

f(-2) = (-2)^2 = 4
g(f(-2)) = 4 -3 = 1

answer

(g ∘ f)(−2) = 1

Answer 2

The value of (g ∘ f)(-2) is 1

Explanation:

Given two functions

`f(x)=x^2, g(x)=x-3`

we have to evaluate (g ∘ f)(-2).

As, (g ∘ f)(-2)=g(f(x))

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

As g(x)=x-3

`g(x^2)=x^2-3`

Therefore,

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

To find the value of (g ∘ f)(-2), we have to substitute x=-2

`(g o f)(-2)=(-2)^2-3=4-3=1`

Hence, the value of (g ∘ f)(-2) is 1