Answer
domain of $ f=(-\infty,\ \infty)=$ range of $g$
range of $f=(0,\infty)=$ domain of $g$
.
.
Work Step by Step
Graph f(x) by building a table for some values of x
Plot the points and join with a smooth curve.
g(x) (the logarithmic function) is the inverse of f(x).
Its graph is obtained by reflecting f(x) across the line y=x
Using the table, plot the points after swapping their x- and y- coordinates.
(these points are reflections of the points in the table)
Join the new points with a new smooth curve.
We have the graph of g(x)
domain of $ f=(-\infty,\ \infty)=$ range of $g$
range of $f=(0,\infty)=$ domain of $g$
