Chapter 12.3, Problem 4MRE

To determine

Find the zeroes of the function:

  $f(x)=3x+5$

Answer to Problem 4MRE

  $x=\frac{-5}{3}$

Explanation of Solution

Given:

  $f(x)=3x+5$

Calculation:

Zeroes of a function are the values at which the function’s value is 0.

  $\begin{array}{l}3x+5=0\\ \text{⇒}3x+5-5=0-\mathrm{5........}[\text{subtract 5 from each side]}\\ \text{⇒}3x=-5\\ \text{⇒}\frac{3x}{3}=\frac{-5}{3}\mathrm{.....................}[\text{divide each side by 3]}\\ \text{⇒}x=\frac{-5}{3}\end{array}$

So, $x=\frac{-5}{3}$ is the zero of the function.