Answer:
x = -5
Step-by-step explanation:
f(x) = [tex]\frac{x+5}{4}[/tex]
Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.
[tex]\frac{x+5}{4}[/tex] = 0
We can start by multiplying both sides by 4. Anything multiplied by 0 equals 0, so we have the following:
x + 5 = 0
Now, subtracting 5 from both sides in order to isolate x, we have:
x = -5
To check our work, let's substitute -5 into our equation:
f(-5) = [tex]\frac{-5+5}{4}[/tex] = [tex]\frac{0}{4}[/tex]
0 divided by anything equals 0, so f(-5) = 0.
