Thread: Which of these functions have inverse(s) and why?

a) f(x) = 10^x


b) f(x) = x^2 - 10


c)
_x_|_f(x)_
..-3|-1
..-1|0
...0|-1
...2|3

I'll get you started...

f(x) for any x should give a unique answer... if it does not then your function has no inverse

examine f(x) =

Originally Posted by Marino

a) f(x) = 10^x


b) f(x) = x^2 - 10


c)
_x_|_f(x)_
..-3|-1
..-1|0
...0|-1
...2|3

Do you know

1. The definition of an inverse function

2. The horizontal line test?

Yes, I know what an inverse function is. It's when the dependent and independent variables of a function are interchanged.
No, I've never heard of the horizontal line test before.

This site Inverse Functions: Definition / Drawing Inverses explains it well.