intermediate algebra

[girlpower]

If f(x)=3x-1/2 and f-1 is the inverse of f, what is value of f-1 (3)?

help me would I substuite the 3 back in the problem walk me through this problem

 

[HallsofIvy]

If y= f(x) then \(\displaystyle x= f^{-1}(x)\). That's the definition of 'inverse function'.

So your problem is to solve the equations \(\displaystyle 3x- (1/2)= 3\). Can you do that?

 

[girlpower]

No would I be subtracting 3 to both sides

 

[DrPhil]

If y= f(x) then \(\displaystyle x= f^{-1}(y)\). That's the definition of 'inverse function'.

So your problem is to solve the equation \(\displaystyle 3x- (1/2)= 3\). Can you do that?

That is an ordinary linear equation. You want to isolate x on one side and numbers on the other. The first step is to add (1/2) to both sides - the 3 is fine where it is. Then · · ·