What is the inverse of f(x)=6(x2)?

1 Answer
Jan 30, 2018

f1(x)=x126

Explanation:

f(x) simply means a given function/ equation so don't get confused.

To start off, we multiply out the brackets...

6×x=6x

As two negatives make a positive and 1×1=1...

6×2=12

By getting rid of the previous brackets and combining terms, we get f(x)=6x+12.

For the inverse, simply think of it as rearranging an equation, so we want to isolate x instead of y.

We want x to be on its own, so therefore we do the opposite of 12, which is 12. What we do to one side, we must do to the other. By subtracting twelve from both sides, this cancels out the 12.

y12=6x

As we want x on its own, we do not want multiple values of it. Because 6x means 6×x, we need to do the opposite, which is to divide by 6.

y126=x

As it is solved, we switch x and y to give us the answer.

f1(x)=x126