Question

Let f(x) = 2x − 5and g(x) = 5x − 2. what is (g ∘ f)(−6)?

Answer 1

It is given that `f(x) = 2x − 5` and `g(x) = 5x − 2`

we know `(g ∘ f)(x) = g(f(x))`

Here,
`(g ∘ f)(x) = g(2x − 5)`

`=> 5(2x − 5) − 2` `color(white)(wwwwwwwww` `["as " color(red)(g(f(x)) = 5(f(x)) − 2)]`

`=> 10x − 27` `color(white)(wwddddwwwwwww` `["replace " color(red)(x=-6)]`

`=> -60 − 27 = -87`