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).

which expression represents the approximate length of bc?

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional