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

1 XThe Function G Is Defined By Gx72xFind Ga5 class=

Sagot :

The function is given as:

[tex]g(x)=\frac{1+x}{7+2x}[/tex]

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,

[tex]\begin{gathered} g(x)=\frac{1+x}{7+2x} \\ g(a+5)=\frac{1+(a+5)}{7+2(a+5)} \end{gathered}[/tex]

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

[tex]\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}[/tex]Answer[tex]\frac{6+a}{17+2a}[/tex]

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