Question

The tables represent the functions f(x) and g(x).


Which input value produces the same output value for the two functions?

x = –12
x = –9
x = –6
x = –3

Answer 1

f(x) = 2/3x + 7...when x = -12             g(x) = 2x + 15....when x = -12
      = 2/3(-12) + 7                                      = 2(-12) + 15
      = -8 + 7                                               = -24 + 15
      = -1                                                     = -9

                             when x = -9                      
f(x) = 2/3(-9) + 7                              g(x) = 2(-9) + 15
      = -6 + 7                                             = -18 + 15
      = 1                                                     = -3
                              when x = -6
f(x) = 2/3(-6) + 7                             g(x) = 2(-6) + 15
      = -4 + 7                                            = -12 + 15
      = 3                                                   = 3

thats it......when x = -6, both functions have the same output of 3
         

Answer 2

The value of both the function is same as 3 , at x = -6 , Option C is the right answer.

What is a Function ?

A function is a law that relates an independent and a dependent variable with each other.

There are two functions given

f(x)= (2/3)x +7

and g(x) = 2x+15

It is been asked for what value the functions will give same output

f(x) = (2/3)x +7

At x = -15 , -12 , -9 , -6 , -3 , 0

the value of function is

-3 , -1 , 1 , 3 , 6 , 7

g(x) = 2x+15

At x = -15 , -12 , -9 , -6 , -3 , 0

the value of function is

-15 , -9 , -3 , 3 , 9 , 15

Therefore at x = -6 , the value of both the function is same as 3 .

To know more about Function

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