SOLUTION: Find the inverse function for y=f(x)=4x-5 Graph f and its inverse

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Question 441772: Find the inverse function for y=f(x)=4x-5
Graph f and its inverse
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
y = f(x) = 4x - 5
The inverse of the function is obtained by replacing x with y and solving for y:
x = 4y - 5
x + 5 = 4y
y = g(x) = x/4 + 5/4
The inverse of a function "undoes" the original function. As a check, let x=2
Then f(2) = y = 8 - 5 = 3
The inverse is y = g(3) = 3/4 + 5/4 = 8/4 = 2
This function returns the value of 2 so it has "undone" the original function
Here are the graphs:
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C4x-5%2Cx%2F4%2B5%2F4%29