Question 919877: f(x) is a function such that f(1)=2, f(4)=3, f(7)=4, f^-1(x) is the inverse of f(x),what is f^-1(f^-1(3))? Thank you.
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
 => means if  then  ;it's point ( , )
 => means if  then  ;it's point ( , )
 => means if  then  ;it's point ( , )
use these points to find what  is equal to
| Solved by pluggable solver: Find the equation of line going through points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, 2) and (x2, y2) = (7, 4).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(0.333333333333333)x + (1.66666666666667)
Your graph:
|
so,  or
then inverse  will be:
...swap  and 
or
what is  : first find  and plug it in
Answer by josgarithmetic(39618)  (Show Source):
|
|
|
