What is the inverse function of #h(x)= 3-(x+4)/(x-7)# and how do you evaluate #h^-1(9)#?
2 Answers
Explanation:
I find the common denominator and sum all together:
Now I simplify making the division of the 2 polynomials and I obtain:
So I can write the function as:
Now, the question is how to find the inverse function? Firstly, I try to isolate x:
Therefore we rewrite better the function:
So we can state that:
If we want to find
The inverse function is
Explanation:
Since the original function is not that complex, you can determine its inverse function faster by solving the function for
Solve this form of the equation for
Once you isolate
To evaluate