Answer:
F=-2 G= 111.5
Step-by-step explanation:
f(x)=3x
-1x to both sides
you have 1f=3x
then just subtract 3x to both sides
you will have -2F
To get G you will have to simplify the problem first, you will have
g(x)=2x-224
you would have to get rid of x first so you subtract 1x from both sides
now you will have G = 2X - 224 you will have to subtract -224 from 1g and you will get -223G
you should have -223G=2x now divide -223 by 2x and you should get
111.5 so G=111.5
The solution to f(x) = g(x) is x = 1.
Given that,
The table shows values for functions f(x) and g(x).
f(x)=3x, g(x)=2x+1
We have to determine,
What is the solution to f(x) =g(x) ?
According to the question,
x -2 -1 0 1 2
f(x) 1/9 1/3 1 3 9
g(x) -3 -1 1 3 5
In the given table there are two values of x which is x= 1 and x= 0 when the condition solution to f(x)=g(x).
The solution of the given f(x) equation when x = 0,
[tex]\rm f(x) = 3x\\\\f(0)=3(0)\\\\f(0)=0[/tex]
And the value of g(x) is,
[tex]\rm g(x) = 2x+1\\\\g(0) = 2(0)+1\\\\g(0) =0+1\\\\g(0)=1[/tex]
The x = 0 is not the solution of f(x) = g(x).
The solution of the given f(x) equation when x = 0,
[tex]\rm f(x) = 3x\\\\f(1)=3(1)\\\\f(1)=3[/tex]
And the value of g(x) is,
[tex]\rm g(x) = 2x+1\\\\g(1) = 2(1)+1\\\\g(1) =2+1\\\\g(1)=3[/tex]
The x = 1 is the solution of f(x) = g(x).
Hence, The solution to f(x) = g(x) is x = 1.
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