Chapter 4, Problem 4RE

(a)

To determine

The value of $\left(f\circ g\right)\left(2\right)$ for the functions $f\left(x\right)=e^x$ and $g\left(x\right)=3x-2$.

(b)

To determine

The value of $\left(g\circ f\right)\left(-2\right)$ for the functions $f\left(x\right)=e^x$ and $g\left(x\right)=3x-2$.

(c)

To determine

The value of $\left(f\circ f\right)\left(4\right)$ for the functions $f\left(x\right)=e^x$ and $g\left(x\right)=3x-2$.

(d)

To determine

The value of $\left(g\circ g\right)\left(-1\right)$ for the functions $f\left(x\right)=e^x$ and $g\left(x\right)=3x-2$.