Answered

The tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x


x f(x)

−2 0.22
−1 0.67
0 2
1 6
2 18


g(x) = 3x + 3

x g(x)

−2 3.11
−1 3.33
0 4
1 6
2 12


Based on the tables, what is the solution to the equation 2(3)x = 3x + 3?

x = −1

x = 0

x = 1

x = 6

Answer :

hi,

x = 1
............

Answer:

The correct option is 3. The solution of given equation is x=1.

Step-by-step explanation:

The given functions are

[tex]f(x)=2(3)^x[/tex]

[tex]g(x)=3^x+3[/tex]

The table of values for both the functions are given.

The given equation is

[tex]2(3)^x=3^x+3[/tex]

The left hand side of the equation is function f(x) and right hand side of the function is g(x).

[tex]f(x)=g(x)[/tex]

It means the solution of the given equation is the intersection point of both the functions. In other words, the solution of the function is the value of x for which the values of functions f(x) and g(x) are same.

From the given tables it is clear that the values of f(x) and g(x) are 6 at x=1.

Therefore the solution of given equation is x=1 and option 3 is correct.

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