The table shows values for functions f(x) and g(x) . x f(x)=2−x g(x)=−2x −3 8 6 −2 4 4 −1 2

Question

The table shows values for functions f(x) and g(x) .
x f(x)=2−x g(x)=−2x
−3 8 6
−2 4 4
−1 2 2
0 1 0
1 12 −2
2 14 −4
3 18 −6
What is the solution to f(x)=g(x) ?

Select each correct answer.

x=−3

x=−2

x=−1

x = 0

x = 1

x = 2

x = 3

0

Answers ( No )

    0
    2021-11-25T18:55:24+00:00

    2-x= -2x

    2x-x=-2

    x= -2

    0
    2021-11-25T18:55:26+00:00

    Answer:

    x= -2 and x= -1

    Step-by-step explanation:

    We are given two functions f(x)=2^{-x} and g(x)=-2x.

    The table for the values of the functions is given as,

     x         f(x)=2^{-x}           g(x)=-2x

    −3                8                                       6

    −2                4                                       4

    −1               2                                         2

    0                1                                         0

    1               12                                       −2

    2               14                                      −4

    3               18                                      −6

    From the table, we see that,

    x= -2 and x= -1, the values of the functions are same.

    i.e. f(-2) = g(-2) and f(-1) = g(-1).

    So, the correct answer for which f(x) = g(x) are x= -2 and x= -1.

Leave an answer

Browse
Browse