2. Inverse Function
If ƒ is a function from a set A to a set B, then an
inverse function for ƒ is a function from B to A.
3. To solve:
First you must change f(x)=y
Then you must solve the equation for x.
So that the answer looks like x=
Once you have completed this replace x= with,
f^-1(y)=
And the inverse is finally solved!!
Now on to the first example.
4. then we must solve the equation y = (2x + 8)3 for
x:
Thus the inverse function ƒ−1 is given by the
formula
5. Always Remember
Read the problem through carefully. Make sure you
understand exactly what the question is.
Devise a plan to solve the problem. Choose which
formulas you'll use, and decide the order in which to
use them.
Focus on each step of the problem individually. Take
your time with each step.
Always review your math. Ask yourself, "Does the
answer seem reasonable? Does it make sense?" If
not, repeat these steps.
6. What is the inverse of f(x) = 3x +
2.
f-1(x) = (x - 3)/3.
f-1(x) = (x- 2)/3. f-1(x) = (x - 3)/2.
7. What is the inverse function of f(x) = 6 -
x/2
f-1(x) = 12 - 2x
f-1(x) = 12 - 6x f-1(x) = 6 - 2x
8. What is the inverse function of f(x) = x3
+2
f-1(x) = (x - 3)^(1/3)
f-1(x) = (x - 3)^(1/2) f-1(x) = (x - 2)^(1/3)
