Chapter 1.2, Problem 5E

(a).

To determine

The value of $f\left(g\left(0\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(b).

To determine

The value of $g\left(f\left(0\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(c).

To determine

The value of $f\left(g\left(x\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(d).

To determine

The value of $g\left(f\left(x\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(e).

To determine

The value of $f\left(f\left(-5\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(f).

To determine

The value of $g\left(g\left(2\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(g).

To determine

The value of $f\left(f\left(x\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.

(h).

To determine

The value of $g\left(g\left(x\right)\right)$ if the functions are $f\left(x\right)=x+5$ and $g\left(x\right)=x^2-3$.