SOLUTION: Given the function, f(x)=4 - 5x,do the following: 1. Find its inverse 2. Sketch the graph of the function by assigning values from the domain of the function. 3. Prove th

Algebra ->  Inverses -> SOLUTION: Given the function, f(x)=4 - 5x,do the following: 1. Find its inverse 2. Sketch the graph of the function by assigning values from the domain of the function. 3. Prove th      Log On


   

Question 1186177: Given the function, f(x)=4 - 5x,do the following:
1. Find its inverse
2. Sketch the graph of the function by assigning
values from the domain of the function.
3. Prove that they are inverses of each other.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x=4-5%2Af%5E%28-1%29
x-4=-5f%5E%28-1%29
%28x-4%29%2F%28-5%29=f%5E%28-1%29
highlight%28f%5E%28-1%29=%284-x%29%2F5%29

You can now substitute 4-5x for x in the inverse formula and simplify, and see what happens.

You can also try to substitute (4-x)/5 for x IN THE ORIGINAL FORMULA for f(x), simplify and see what happens.


You can do the graphs of the lines.
Put these on the same coordinate system: system%28y=-5x%2B4%2Cand%2Cy=4%2F5-x%2F5%29