- #1

- 215

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## Homework Statement

Inverse of g(x) = x/3 -5

## Homework Equations

## The Attempt at a Solution

The inverse of the function

g(x) = x/3 -5

x= y/3 -5

x +5 = y/ 3

3x + 15 = y

Is this correct?

Or is it x+5 /3 ?

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- Thread starter Nelo
- Start date

- #1

- 215

- 0

Inverse of g(x) = x/3 -5

The inverse of the function

g(x) = x/3 -5

x= y/3 -5

x +5 = y/ 3

3x + 15 = y

Is this correct?

Or is it x+5 /3 ?

- #2

- 1,335

- 40

If you have a graphic calculator, graph them both, the inverse should be a 90* rotation from the original, since you essentially have the same function with swapped axis.

- #3

- 18

- 0

[itex]g[g^{-1}(x)]=(\frac{3x+15}{3})-5=(x+5)-5=x[/itex]

Yes, the inverse you found is correct.

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