Question #8bf11

1 Answer
Jan 28, 2018

#f(x)=x^2# does NOT have an inverse

Explanation:

First of all, the function #f(x)=x^2# will fail the horizontal line test, which means that it will NOT have an inverse. Because:

#f(-2)=4#, but
#f(2)=4# also equals to 4, a function does not have an inverse if the input is different, but the output is the same.

Therefore, any attempt to find an inverse at #f(x)=x^2# will fail, because it has been proven to not have an inverse.