Question

1Given f(x) = 3x and g(x) = x - 2Which value is in the domain of fºg?Click on the correct answer.-225-8

Answer 1

Let's begin by listing out the information given to us:

`\begin{gathered} f\mleft(x\mright)=3x \\ g\mleft(x\mright)=x-2 \end{gathered}`

We will caculate fºg thus:

`\begin{gathered} fºg=f(g(x))=3(x-2)=\text{3x}-6 \\ fºg=3x-6=0\Rightarrow3x=6\Rightarrow(3x)/(3)=(6)/(3)\Rightarrow x=2 \\ x=2 \end{gathered}`

Hence, option B is correct