Question

What is the zero of function f?f(x)=3 square root of x+3 -6

Answer 1

Given:

`f(x)=3√(x+3)-6`

The zeros of a function are the values of x when f(x) is equal to 0.

Hence,

`\begin{gathered} 0=3√(x+3)-6 \\ \\ Collecting\text{ the like terms,} \\ 0+6=3√(x+3) \\ 6=3√(x+3) \\ \\ Divide\text{ both sides by 3;} \\ (6)/(3)=√(x+3) \\ 2=√(x+3) \\ \\ Taking\text{ the square of both sides;} \\ 2^2=x+3 \\ 4=x+3 \\ \\ Collecting\text{ the like terms;} \\ 4-3=x \\ 1=x \\ x=1 \end{gathered}`

Therefore, x = 1

The correct answer is OPTION A.