SOLUTION: Find the inverse Olof each function. Then graph the function and its inverse. A. Y=-3 B. f(x) = x-5

Algebra ->  Inverses -> SOLUTION: Find the inverse Olof each function. Then graph the function and its inverse. A. Y=-3 B. f(x) = x-5      Log On


   

Question 987661: Find the inverse Olof each function. Then graph the function and its inverse.
A. Y=-3
B. f(x) = x-5
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Inverse for y=-3 is not a function, but would still be a relation. y=-3 will include ALL values of x but just ONE value for y. When you switch roles of x and y, you would have x=-3 for ALL values of y. This is x=-3.

f^-1 from your definition of f(x) gives f%5E-1%28x%29-5=x.
f%5E-1%28x%29=x%2B5.
Graphically like these:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx-5%2Cx%2B5%29
f is the red line, and its inverse is the green line.