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.