Question

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

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

Select each correct answer.


x=−1

x = 0

x = 1

x = 2

x = 3

x = 4

x = 5

Answer 1

The value of f(x) and g(x) are equal for x = 0 , 2 .

Explanation:

As the function given in the questions be .

`f(x)=2^(x)-4`

`g(x)=(3x)/(2) -3`

Put x = 0

`f(0)=2^(0)-4`

`As\ 2^(0)=1`

`f(0)=1-4`

= -3

`g(0)=(3* 0)/(2) -3`

= 0-3

= -3

Thus at x = 0 value of f(x)=g(x)= -3 .

Put x = 2

`f(x)=2^(2)-4`

As 2² = 4

`f(x)=4-4`

= 0

`g(2)=(3* 2)/(2) -3`

= 3-3

= 0

Thus at x= 2 value of f(x)=g(x) = 0 .