Which function has an inverse that is a function?
b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of and the range of f is the domain of .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

the two may have that, even a breakdown is probably offered