Respuesta :
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)
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)
Answer:
We have to use the table of values to find the solution to the equation:
f(x)=h(x)
Where [tex]f(x)=\dfrac{1}{x+1}[/tex] and [tex]h(x)=2x+3[/tex]
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).