Answer:
we have that
f(x)=3x-2
g(x)=4x-1
3x-2=4x-1-------------> 4x-3x=-2+1--- > x=-1
find the value of f(x) or g(x) for x=-1
f(x)=3x-2 -------> f(-1)=3*(-1)-2 ------>
f(-1)=-5
the solution is the point (-1,-5)
using a graph tool
see the attached figure
the answer is
case (A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
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Step-by-step explanation:
Answer:
The correct options are:
A) The ordered pair that contains the solution to the equation lies in Quadrant I.
C) The solution to the equation is x=1 .
Step-by-step explanation:
Consider the provided functions.
[tex]f(x)=4^x+1\ and\ g(x)=5[/tex]
It is given that we need to solve the equation f(x)=g(x) by graphing the functions [tex]f(x)=4^x+1\ and\ g(x)=5[/tex] on the same set of coordinate axes.
First draw the graph of [tex]f(x)=4^x+1\ and\ g(x)=5[/tex]
Use the table to draw the graph of [tex]f(x)=4^x+1[/tex]
x [tex]f(x)=4^x+1[/tex]
-2 1.0625
-1 1.25
0 2
1 5
The graph of g(x)=5 is a horizontal line parallel to x axis, passing through (0,5).
The required graph is shown in figure 1.
By graphing the function we can identify that the graph of [tex]f(x)=4^x+1\ and\ g(x)=5[/tex] intersect at (1,5).
We can verify this by solving both the equation as:
[tex]4^x+1=5[/tex]
[tex]4^x=4[/tex]
Thus, the value of x should be 1.
This means x=1 is the only solution for the equation which lies in Quadrant 1.
Hence, the correct options are:
A) The ordered pair that contains the solution to the equation lies in Quadrant I.
C) The solution to the equation is x=1 .
