Question

Help with question: suppose that the factor Q and R are different as followers

Answer 1

We are given the following functions:

`\begin{gathered} q(x)=x^2+6 \\ r(x)=\sqrt[]{x+9} \end{gathered}`

We are asked to determine the following composition of functions:

`r\circ q`

This composition is equivalent to the following:

`r\circ q=r(q(x))`

This means that we will substitute the function q(x) for the value of "x" in the function r(x), like this:

`r(q(x))=\sqrt[]{(x^2+6)+9}`

Now, we add like terms:

`r(q(x))=\sqrt[]{x^2+15}`

Now, since we are asked about the composition when x = 7 we will substitute the values of "x = 7" in the resulting function:

`r(q(7))=\sqrt[]{(7)^2+15}`

Now, we solve the operations:

`r(q(7))=8`

Therefore, the value of the composition of function at "x = 7" is 8. We can use the same procedure to determine the composition of q and r.