### Home > PC3 > Chapter 8 > Lesson 8.3.2 > Problem 8-104

8-104.

Graph each of the following functions. Homework Help ✎

*f*(*x*) = log_{4}(*x*+ 3) – 2*g*(*x*) = 4^{x}^{ + 2}– 3What do you notice about the functions in parts (a) and (b)? Use composition of functions to justify your conclusion.

Rewrite the equation in exponential form.

Then make a table, choosing the *y*-values and then calculating the *x*-values.

This is exponential growth. The curve is shifted 2 units left and 3 units down.