Question

Find the Zero of each function1.f(x)=2x+122.F(x)=3x-27

Answer 1

Answer:

1. x = -6

2. x = 9

Explanation:

To find the zeros of each function we need to make f(x) = 0 and solve for x.

So, for the first function, we get:

$\begin{gathered} f(x)=2x+12=0 \\ 2x+12=0 \end{gathered}$

Then, solving for x, we get:

$\begin{gathered} 2x+12-12=0-12 \\ 2x=-12 \\ \frac{2x}{2}=-\frac{12}{2} \\ x=-6 \end{gathered}$

In the same way, for the second function we get:

$\begin{gathered} f(x)=3x-27=0 \\ 3x-27=0 \end{gathered}$

Solving for x:

$\begin{gathered} 3x-27+27=0+27 \\ 3x=27 \\ \frac{3x}{3}=\frac{27}{3} \\ x=9 \end{gathered}$

Therefore, the zero of the first function is x = - 6, and the zero of the second function is x = 9.