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# Inverse to a function?

How do you arrive at this answer? What are the steps?

### 2 Answers

Relevance

- L. E. GantLv 74 weeks ago
An inverse is when g(f(x)) = f(g(x)) = x

to get inverse of f(x)

x = 2y + 3

==> 2y = x-3

==> y = (x-3)/2 = h(x)

so...

f(h(x))

= 2(h(x)) + 3

= 2(x-3)/2 + 3

= x - 3 + 3

= x

- MichaelLv 74 weeks ago
NOT inverses of each other.

An inverse returns the original function.

"an inverse function is a function that "reverses" another function:

if the function f applied to an input x gives a result of y,

then applying its inverse function g to y gives the result x,

and vice versa, i.e., f(x) = y if and only if g(y) = x."

In other words:

If the function f turns an apple into a banana,

Then the inverse function g turns the banana back to an apple

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