Question

Use a table of values to find the solution to the equation ƒ(x ) = h(x ) where f(x)=1/x+1 and h(x ) = 2x + 3. Show your work

Answer 1

Answer:

We have to use the table of values to find the solution to the equation:

f(x)=h(x)

Where $f(x)=\dfrac{1}{x+1}$ and $h(x)=2x+3$

Now we make a table as:

x                 f(x)               h(x)

0                  1                   3

0.5             0.666             4

1                   0.5                5

2                  0.333             7

-0.5                2                   2  

-1                    ∞                   1  

-1.5                 -2                  0

-2                    -1                   -1    

Hence, from the set of values as in the table we could clearly observe that the points where f(x)=h(x) is at x= -0.5 and x=-2.

Also we could observe from the graph that the x-value of the point of intersection of the graphs of the function f(x) and h(x) are the solutions of f(x)=h(x).

Answer 2

f(x)=1/(x+1)

h(x ) = 2x + 3

I proceed to make the table, placing different values ​​of X until we get  

f (x) = g (x)   (see the attached table)

The solutions to this problem are (-0.5, 2) and (-2,-1)