Chapter 11, Problem 7RE

(a)

To determine

The value of the composite function $\left(f\circ g\right)\left(x\right)$ for $f\left(x\right)=x^2+1$ and $g\left(x\right)=2x+1$.

(b)

To determine

The value of the composite function $\left(g\circ f\right)\left(x\right)$ for the $f\left(x\right)=x^2+1$ and $g\left(x\right)=2x+1$.

(c)

To determine

The value of the composite function $\left(f\circ f\right)\left(x\right)$ for $f\left(x\right)=x^2+1$ and $g\left(x\right)=2x+1$.

(d)

To determine

The value of the composite function $\left(g\circ g\right)\left(x\right)$ for $f\left(x\right)=x^2+1$ and $g\left(x\right)=2x+1$.