Given:
[tex]\begin{gathered} f(x)=\frac{x+2}{x+3} \\ g(x)=\frac{x+5}{x} \end{gathered}[/tex]
Required:
To find the values of the given functions at the given values of x.
Explanation:
At x = 0.5, Put x=0.5 in f(x) and g(x).
[tex]\begin{gathered} f(0.5)=\frac{0.5+2}{0.5+3} \\ f(0.5)=\frac{2.5}{3.5} \\ f(0.5)=0.714 \\ g(0.5)=\frac{0.5+5}{0.5} \\ g(0.5)=11 \end{gathered}[/tex]
Now put x=1 in f(x) and g(x)
[tex]\begin{gathered} f(1)=\frac{1+2}{1+3} \\ f(1)=\frac{3}{4} \\ f(1)=0.75 \\ g(1)=\frac{1+5}{1} \\ g(1)=6 \end{gathered}[/tex]
Now put x=2 in f(x) and g(x).
[tex]\begin{gathered} f(2)=\frac{2+2}{2+3} \\ f(2)=\frac{4}{5} \\ f(2)=0.8 \\ g(2)=\frac{1+5}{2} \\ f(2)=\frac{6}{2} \\ f(2)=3 \end{gathered}[/tex]
Similarly, we will put the other values of x in f(x) and g(x), and then make the table by putting the values.
