Question

Find the formula round your answer to two decimal places if necessary

Answer 1

Step-by-step explanation

Give that

`\begin{gathered} f(x)=(1)/(x) \\ \\ g(x)=(x+1)/(3) \end{gathered}`

To get the value of

`(fog)(x)`

we will have

`(f\text{ o g})(x)=f\left((x+1)/(3)\right)=(3)/(x+1)`

The value (f o g) (x) is

`\left(fog\right)x=(3)/(x+1)`

The graph is

Thus, the Domain is

`\begin{bmatrix}\mathrm{Solution:}\:&\:x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}`