Question

1 + xThe function g is defined by g(x)=7+2xFind g(a+5).

Answer 1

The function is given as:

`g(x)=(1+x)/(7+2x)`

We need to find the expression g(a + 5).

This means that we are going to plug in "a + 5" into "x" of the function. So, substituting, it gives us,

`\begin{gathered} g(x)=(1+x)/(7+2x) \\ g(a+5)=(1+(a+5))/(7+2(a+5)) \end{gathered}`

Now, we need to simplify the expression. Steps are shown below:

`\begin{gathered} g(a+5)=(1+(a+5))/(7+2(a+5)) \\ =(1+a+5)/(7+2a+10) \\ =(6+a)/(17+2a) \end{gathered}`Answer
`(6+a)/(17+2a)`