Question

If G(x) = 3x+1, then G^-1(1) is?

Answer 1

0

Explanation:

We are given that

`G(x)=3x+1`

We have to find the value of
`G^(-1)(1)`

To find the value of
`G^(-1)(1)` we will find first
`G^(-1)(x)`

Let
`y=G(x)=3x+1`

`3x=y-1`

`x=(1)/(3)(y-1)`

Now, replace x by y and y replace by x

Then, we get

`y=(1)/(3)(x-1)`

Now, substitute
`G^(-1)(x)=y`

`G^(-1)(x)=(1)/(3)(x-1)`

Now, substitute x=1

Then, we get

`G^(-1)(1)=(1)/(3)(1-1)=0`

Hence, the value of
`G^(-1)(1)=0`