Question

Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.

Answer 1

Answer:

gx=3(x-1)

Step-by-step explanation:

Answer 2

Concept

Function is a relationship between two or more variables in which each value of x has some value of y. The ordered pairs of any function is written in the form (x, y ).

Given

f(x)=x-1 and g(x)=3 f(x)

To find

Table showing value of g(x).

Explanation

The function given is f(x)=x-1

g(x)=3 f(x)

To find the value of g(x) we need to put the f(x) in g(x)=3 f(x)

g(x)=3(x-1)

=3x-3

Now we have to find the ordered pairs of g(x) and for that we need put some values of x in g(x)=3x-3 so that we will get the value of g(x).

g(1)=3*1-3=0

g(2)=3(2)-3=3

g(0)=3*0-3=-3

g(10)=3(10)-3=27

g(8)=3*8-3=21

Now the table becomes as under:

  x                                 g(x)

   0                                   -3

    1                                    0

    2                                    3

    8                                    21

   10                                   27

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