Question

What’s the answer to this?

Answer 1

`f(3x)=9x^2-3`

Explanation:

One is given the following function:

`f(x)=x^2-3`

One is asked to evaluate the function for (
`f(3x)`). Substitute (
`3x`) in place of (
`x`) then simplify. Remember that a number raised to an exponent is the same as that number times itself the number of times that the exponent indicates. One can apply this logic here while simplifying,

`f(x)=x^2-3`

`f(3x)=(3x)^2-3`

`f(3x)=(3x*3x)-3`

`f(3x)=(9x^2)-3`

`f(3x)=9x^2-3`