Question

Suppose the function g(x) doubles the square of the input and then subtracts 13. what is g(3)?

Answer 1

Given:

The function
`g(x)` doubles the square of the input and then subtracts 13.

To find:

The value of
`g(3)`.

Solution:

Let
`x` be the input value.

The square of the input is
`x^2`.

Doubles the square of the input
`2x^2`.

Doubles the square of the input and then subtracts 13, i.e.,
`2x^2-13`.

So, the function is:

`g(x)=2x^2-13`

Putting
`x=3` in the above function, we get

`g(3)=2(3)^2-13`

`g(3)=2(9)-13`

`g(3)=18-13`

`g(3)=5`

Therefore, the value of
`g(3)` is 5.