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

x f(x)=4x+20 g(x)=2x+6
−6 −4 1
−5 0 2
−4 4 4
−3 8 8
−2 12 16
−1 16 32
0 20 64


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

Select each correct answer.




−6

−5

−4

−3

−2

−1

0







































Respuesta :

Answer:

-3 and -4

Step-by-step explanation:

f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.

−6 −4 1

−5 0 2

−4 4 4

−3 8 8

−2 12 16

−1 16 32

0 20 64

The solution to f(x)=g(x) is both x = -4 and x=-3.

The solution to f(x)=g(x) is (-7, -8)

Functions and graphs

Given the functions

  • f(x) = 4x + 20
  • g(x) = 2x + 6

If the functions are equal then;

4x + 20 = 2x + 6

4x - 2x = 6 - 20

2x = -14

x = -7

Since y = 2x + 6

y = 2(-7) + 6

y = -14 + 6

y = -8

Hence the solution to f(x)=g(x) is (-7, -8)

Learn more on functions here: https://brainly.com/question/10439235