How do you find the inverse of #h(X)= 5 / (2x + 3)# and is it a function?
1 Answer
The inverse of a function can be found algebraically by switching the x and y values
Explanation:
Here are a few things to remember when finding the inverse of a function:

The y must be isolated (all alone on one side of the equation).

Don't forget the #h^1(x) notation. I have been docked marks before from forgetting to include this element in my answer.

The inverse of a function can be found graphically by reflecting the original function over the line
#y = x#
The first graph below is of the original function. The second is of the inverse.
graph{y = 5/(2x + 3) [10, 10, 5, 5]}
graph{y = (5  3x)/(2x) [4.933, 4.933, 2.466, 2.467]}
Practice exercises:
 Indicate the inverses of the following functions, and then state whether or not they are functions.
a)
b)
c)
d)
graph{y = 1/3x + 2 [9.51, 9.51, 4.755, 4.755]}
Good luck!