Question

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

Answer 1

Hi,

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

Answer 2

Answer:

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

Step-by-step explanation:

The given functions are

$f(x)=2(3)^x$

$g(x)=3^x+3$

The table of values for both the functions are given.

The given equation is

$2(3)^x=3^x+3$

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

$f(x)=g(x)$

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.