Chapter 1.4, Problem 39E

(a)

To determine

To calculate: The value of the composite function $f\left(g\left(1\right)\right)$ if $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=x^2-1$.

(b)

To determine

To calculate: The value of $g\left(f\left(1\right)\right)$ if $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=x^2-1$.

(c)

To determine

To calculate: The value of composite function $g\left(f\left(\frac{1}{2}\right)\right)$ if $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=x^2-1$.

(d)

To determine

To calculate: The value of composite function $f\left(g\left(-\sqrt{5}\right)\right)$ if $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=x^2-1$.

(e)

To determine

To calculate: The value of the composite function $f\left(g\left(x\right)\right)$ if $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=x^2-1$.

(f)

To determine

To calculate: The value of the composite function $g\left(f\left(x\right)\right)$ if $f\left(x\right)=\sqrt{x}$ and $g\left(x\right)=x^2-1$.