Question

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

Answer 1

The function is given as:

$g(x)=\frac{1+x}{7+2x}$

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,

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

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

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