Question

If f(x) = 7x - 3 and g(x) = x2, what is (gºf)(1)?
Enter the correct answer.

Answer 1

Answer: Plato

Explanation:

Answer 2

`(g\°f)(1)=16`

Explanation:

Given:

`f(x)=7x-3`

`g(x)=x^2`

To find composition function of
`g` of
`f(1)`

Firstly, we fill find the composition function
`(g\°f)(x)`

⇒
`(g\°f)(x)=g(f(x))` [Plugging in
`f(x)` for
`x` ]

⇒
`f(x)^2`

⇒
`(7x-3)^2` [Substituting
`f(x)=7x-3` ]

⇒
`49x^2-42x+9` [As expansion of
`(a-b)^2=a^2-2ab+b^2` ]

We can now plugin
`x=1` in the composition function.

`(g\°f)(1)`

⇒
`49(1)^2-42(1)+9`

⇒
`49-42+9`

⇒ 16

∴
`(g\°f)(1)=16`