Question

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 1

Answer:

Option 5th is correct.

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

Step-by-step explanation:

The table shown below:

x           f(x) =4x+1           $g(x) = 3^{x+1} -4$  

-3           -11                     $-\frac{35}{9}$

-2            -7                     $-\frac{11}{3}$

-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

Answer 2

The solutions to f(x)=g(x) are -1 and 1

The functions are given as:

$f(x) = 4x + 1$

$g(x) = 3^{x + 1} - 4$

The solutions to f(x)=g(x) are the x values where the values of functions f(x) and g(x) are the same

From the table, we have:

f(x) = g(x) = -3 when x  = -1

And

f(x) = g(x) = 5 when x  = 1

Hence, the solutions to f(x)=g(x) are -1 and 1

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