Question

If f(x) = 2x – 1 and g(x) = ^ – 2, find [g ◦ f](x).

Answer 1

The value of [g ◦ f](x) =
`4x^(2) -4x-1`

Explanation:

If f(x) = 2x - 1

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

we need to find the value of [g ◦ f](x).

which means that g(f(x))

g(f(x)) =
`(2x-1)^(2) -2`

g(f(x)) =
`4x^(2) -4x+1 -2`

g(f(x)) =
`4x^(2) -4x-1`

The value of [g ◦ f](x) =
`4x^(2) -4x-1`