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Tanzania [10]
3 years ago
11

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

Mathematics
1 answer:
pychu [463]3 years ago
4 0

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.

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