Question

If f(x) = x minus 2, all over 2, then what is f–1(x) ?

Answer 1

\[y = \frac{ x - 2 }{ 2 }\]

F(x)^-1 means the inverse....here you take your original equation (above) and switch the 'x' and the 'y' ...so it becomes

\[x = \frac{ y - 2 }{ 2 }\]

Now solve for 'y' again...can you do that...?

Answer 2

No, i'm so beyond confused

Answer 3

Okay don't worry about it....so we have

\[x = \frac{ y - 2 }{ 2 }\]


We want to solve for 'y' again...

so first....we want to get rid of that annoying fraction...since everything is being divided by 2....we should cancel that out...and multiply by 2

2x = y - 2

Notice how everything divided by 2....when multiplied by 2...cancels out...

so now that all you have is

2x = y - 2

what do you need to do to solve for 'y'...?

Answer 4

add 2 too both sides

Answer 5

Correct...so out final answer would be

y = 2x + 2

That is the inverse

Answer 6

thank you!

Answer 7

No problem!