Question

Given f(x) = 9x - 5 and g(x) = x^2 choose the expression for (f g) (x)

Answer 1

9x²-5

Explanation:

Given f(x) = 9x - 5 and g(x) = x², (f g)x means we will have to substitute g(x) value into f(x).

Since f(x) = 9x-5

(f g)x = 9x²-5

Note that g(x) which is equal to x² will be substituted for value of x in the function of x i.e f(x) making 9x²-5 the required answer.

Answer 2

`$ 9x^2 - 5 = 0 $`

Explanation:

Given:
`$ f(x) = 9x - 5 $` and
`$ g(x) = x^2 $`.

We are asked to find
`$ f(g(x)) $`

This is composition of two functions.
`$ f(g(x)) $` means
`$ g(x) $` becomes the input for
`$ f(x) $`.

So, now
`$ f(g(x))$`
`$ = f(x^2) $`

`$ \implies f(g(x)) = 9(x^2) - 5 $`