Question

Please help with part a b and c, C says “compre the functions algebraically by rewriting them using a common denominator”

Answer 1

Given:

`\begin{gathered} f(x)=(x+2)/(x+3) \\ g(x)=(x+5)/(x) \end{gathered}`

Required:

To find the values of the given functions at the given values of x.

Step-by-step explanation:

At x = 0.5, Put x=0.5 in f(x) and g(x).

`\begin{gathered} f(0.5)=(0.5+2)/(0.5+3) \\ f(0.5)=(2.5)/(3.5) \\ f(0.5)=0.714 \\ g(0.5)=(0.5+5)/(0.5) \\ g(0.5)=11 \end{gathered}`

Now put x=1 in f(x) and g(x)

`\begin{gathered} f(1)=(1+2)/(1+3) \\ f(1)=(3)/(4) \\ f(1)=0.75 \\ g(1)=(1+5)/(1) \\ g(1)=6 \end{gathered}`

Now put x=2 in f(x) and g(x).

`\begin{gathered} f(2)=(2+2)/(2+3) \\ f(2)=(4)/(5) \\ f(2)=0.8 \\ g(2)=(1+5)/(2) \\ f(2)=(6)/(2) \\ f(2)=3 \end{gathered}`

Similarly, we will put the other values of x in f(x) and g(x), and then make the table by putting the values.