Question

Find f(x) if it is known that f(x+3)=4x+12.

Answer 1

I got x= -9/5 but I may have set up the equation wrong. I did x+3=4x+12.

Answer 2

Solution:

we are given that

$f(x+3)=4x+12$

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

$f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x$

Hence the expression representing f(x) is f(x)=4x+3.