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Find the formula for (fog)(x) and simplify your answer. Then find the domain for (fog)(x). Round your answer to two decimal places, if necessary.

Find the formula for (fog)(x) and simplify your answer. Then find the domain for (fog-example-1
User Chisato
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1 Answer

2 votes

(f o g) (x) means put the whole function, g(x), into x of f(x).

Let's do it:


\begin{gathered} f(x)=(1)/(x) \\ (\text{fog)(x)}=(1)/((x+3)/(2))=(2)/(x+3) \end{gathered}

The graph of this function looks like:

The domain is the set of x values for which the graph of the function is defined for.

Here, you see x = -3 is not included, otherwise the graph is defined for all other values

So the domain would be:

Domain = { x not equal 0 }


Domain=\lbrace x\\e0\}

Find the formula for (fog)(x) and simplify your answer. Then find the domain for (fog-example-1
User Budthapa
by
6.8k points
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