Question

What is the zero of the function below?

Answer 1

x = 1

Step-by-step explanation:

Given data: $f(x)=3 \sqrt{x+3}-6$

Recall: If f(x) = 0, then x is called the zero of the function.

To find zero of the function, take f(x) = 0.

$\Rightarrow 3 \sqrt{x+3}-6=0$

Add 6 to both sides of the equation.

$\Rightarrow 3 \sqrt{x+3}=6$

Divide both sides of the equation by 3.

$\Rightarrow \sqrt{x+3}=2$

Taking square on both sides of the equation.

$\Rightarrow(x+3)=2^{2}$  

⇒ x + 3 = 4

⇒ x = 1

Hence, the zero of the function is 1.