Question #2f4ab

1 Answer
May 15, 2017

Answer: f'(x)=sqrt(x/4)

Explanation:

Find inverse of f(x)=4x^2

Note that f(x) is same as y

So, y=4x^2

To find the inverse, we flip x and y in the original equation:
x=4y^2

Now, we can simply solve for y as for a normal equation:
x/4=y^2
y=sqrt(x/4)
or
f'(x)=sqrt(x/4)
since we use f'(x) to indicate inverse functions