SOLUTION: A is the part of the graph y=x. B is the part of the graph y=b^x, for b>1. C is the reflection of the graph B in line A. Write down a. The equation of C in the form y=f(x).

Algebra ->  Functions -> SOLUTION: A is the part of the graph y=x. B is the part of the graph y=b^x, for b>1. C is the reflection of the graph B in line A. Write down a. The equation of C in the form y=f(x).       Log On


   

Question 1103035: A is the part of the graph y=x.
B is the part of the graph y=b^x, for b>1.
C is the reflection of the graph B in line A.
Write down
a. The equation of C in the form y=f(x).
b. the coordinates of the point where C cuts the x-axis, in terms of b.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. B is just the exponential function y+=+b%5Ex, and reflecting its graph across the line y = x should give the graph of its inverse function, y+=+log%28b%2Cx%29.
b. Let 0+=+log%28b%2Cx%29
===> x+=+b%5E0+=+1.