SOLUTION: The function f(x)=7/x-5 is one to one. a.) Find the inverse of f. b.) Graph f, f^-1 and y=x on the same set of axes.

Algebra ->  Sequences-and-series -> SOLUTION: The function f(x)=7/x-5 is one to one. a.) Find the inverse of f. b.) Graph f, f^-1 and y=x on the same set of axes.      Log On


   



Question 970637: The function f(x)=7/x-5 is one to one.
a.) Find the inverse of f.
b.) Graph f, f^-1 and y=x on the same set of axes.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=7/x-5
x=7/y-5, which is inverse.
Multiply both sides by (y-5)
x(y-5)=7
divide by x
y-5=7/x
add 5 to both sides
y=(7/x) +5 = (5x+7)/x
These are symmetrical around the y=x line.
+graph+%28300%2C300%2C-10%2C10%2C-10%2C10%2C7%2F%28x-5%29%2C+5%2B7%2Fx%2Cx%29