Question

consider the following.find formula simplify answer .Find the domain for the formula and round answer to two decimal places if necessary.

Answer 1

The sum of functions is given as:

`(f+g)(x)=f(x)+g(x)`

In this case we have:

`(f+g)(x)=5x+\sqrt[]{x-1}`

The domain of the functions is any number that makes the squared root a real number, then:

`\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}`

Hence the domain of the functions is:

`\lbrack1,\infty)`