Chapter 1.1, Problem 70AYU

(a)

To determine

The function $\left(f+g\right)\left(x\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$, also find the domain.

(b)

To determine

The function $\left(f-g\right)\left(x\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$, also find the domain.

(c)

To determine

The function $\left(f\cdot g\right)\left(x\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$, also find the domain.

(d)

To determine

The function $\left(\frac{f}{g}\right)\left(x\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$, also find the domain.

(e)

To determine

The value $\left(f+g\right)\left(3\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$.

(f)

To determine

The value $\left(f-g\right)\left(4\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$.

(g)

To determine

The value $\left(f\cdot g\right)\left(2\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$.

(h)

To determine

The value $\left(\frac{f}{g}\right)\left(1\right)$ for the functions $f\left(x\right)=2x^2+3\text{and}g\left(x\right)=4x^3+1$.