Question

A certain function h(x) contains the point (8,-2). Find the value of h^-1(-2) . Explain your answer.

Answer 1

Given:

A certain function h(x) contains the point (8,-2).

To find:

The value of
`h^(-1)(-2)`.

Solution:

If a function is defined as

`f(x)=\{(a,b):a\in R,b\in R\}`

Then, its inverse is defined as

`f^(-1)(x)=\{(b,a):a\in R,b\in R\}`

It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse
`h^(-1)(x)` contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,

`h^(-1)(-2)=8`

Therefore, the value of
`h^(-1)(-2)` is 8.