The inverse function of the above function is f(x) =
You can find the inverse of any function by switching the f(x) and x terms. Once you have done that, solve for the new f(x). Finally, what you'll have remaining is the inverse function. The work is done for you below:
f(x) = ----> Switch the x and f(x)
x = ---> square both sides
= 2f(x) + 2 ---> subtract 2 from both sides
- 2 = 2f(x) ----> divide both sides by 2
= f(x) ----> switch the order for formatting sake.
f(x) =
Hey there!
1. The graph was flipped vertically and now opens downward.
We know this because there is a negative sign in front of the equation:
2. The graph was moved 3 units to the left.
We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.
3. The graph was moved 5 units up.
We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.
Hope this helps!