What is the zero of the function below? 3√(x+3-6) A. x=1 B. x= -1 C. x= -3 D. x=9

Question

What is the zero of the function below?


`3√(x+3-6)`

A. x=1

B. x= -1

C. x= -3

D. x=9

Answer 1

x = 1

Explanation:

Given data:
`f(x)=3 √(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 √(x+3)-6=0`

Add 6 to both sides of the equation.

`\Rightarrow 3 √(x+3)=6`

Divide both sides of the equation by 3.

`\Rightarrow √(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.