Prove that f is invertible and find (f^-1)'((1)/(2) ?
If #f(x) = cos x# for all x #in# #(0, (pi)/(2))# , prove that f is invertible and find #(f^-1)'((1)/(2))# .
If
1 Answer
Explanation:
To know if a relation is invertible we must know the criteria for being invertible. The criteria are as follows:
❈ It must be a function, meaning that each value of
❈ The inverse function must also be a function, meaning that each value of
❈ The inverse function must be a reflection of
❈ Must satisfy
First of all, as
The inverse function of
However since
Now to prove that it is invertible we want to test it using the following equations: