The table shows values for functions f(x) and g(x) .

x f(x)=4x+1 g(x)=3x+1−4
−3 −11 −359
−2 −7 −113
−1 −3 −3
0 1 −1
1 5 5
2 9 23
3 13 77


What is the solution to f(x)=g(x) ?

Select each correct answer.




−3

−2

−1

0

1

2

3

Answer:

Option 5th is correct.

x = 1 is the solution to f(x) =g(x)

The table shown below:

x           f(x) =4x+1            

-3           -11                    

-2            -7                    

-1              -3                       -3

0                1                        -1

1                 5                        5

2                 9                        23

3                  13                       77

We have to find the solution to f(x) = g(x)

We have to find the value of x where f(x) = g(x).

From the given table you can see that at x = 1

f(x)  =5 and g(x) = 5

therefore, the solution where f(x) = g(x) at x =1

Step-by-step explanation:

The solution to the functions are when x = 1 , f ( x ) = g ( x ) = 5

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = 4x + 1

And , g ( x ) = ( 3 )ˣ⁺¹ - 4

On simplifying , we get

The table of values are given and when x = 1

The value of f ( x ) = g ( x ) = 5

Hence , the solution is when x = 1

To learn more about function rule click :

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The complete question is attached below :

The table shows values for functions f(x) and g(x) .

f(x)=4x+1

g ( x ) = ( 3 )ˣ⁺¹ - 4

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