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

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

f(x)=h(x)

Where and

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).

step-by-step explanation:

hjkj

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!