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What is the zero of function ? = 3/5 + 3 - 6 OA = 1 B. . = 9 Oc. = -3 OD.

What is the zero of function ? = 3/5 + 3 - 6 OA = 1 B. . = 9 Oc. = -3 OD.-example-1
User Chizou
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1 Answer

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8 votes

Given:

The given function is:


f(x)=3\sqrt[]{x+3}-6

The zero of a function is defined as the point where the function returns value zero.

Thus,zero of the function f is values of x where f is zero.

Hence,


\begin{gathered} \Rightarrow f(x)=0 \\ \Rightarrow3\sqrt[]{x+3}-6=0 \\ \Rightarrow3\sqrt[]{x+3}=6 \\ \Rightarrow\sqrt[]{x+3}=(6)/(3) \\ =\sqrt[]{x+3}=2 \end{gathered}

Squaring both sides,


\begin{gathered} x+3=2^2 \\ x+3=4 \\ x=4-3 \\ x=1 \end{gathered}

Hence, option A) x = 1 is correct.

User Froy
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