Question

What’s the answer to this?

Answer 1

Answer:

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

Step-by-step 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,

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

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

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

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

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