Question

Find formula for g(x) if it is known that g(x-3)=2x-6

Answer 1

Answer:

Did you even look at it? g(x)=2x

Step-by-step explanation:

2x-6=2(x-3), or 2(x).

Answer 2

The required formula of g(x) is 2x.

We have to determine, formula for g(x) if it is known that g(x-3) = 2x-6.

To obtain the formula of g(x) follow all the steps given below.

According to the question,

The formula of g(x),

g(x - 3) = 2x - 6

• Step1;  To find the expression (x - 3) = y in the g(x - 3)

          Then,

           $g(x - 3) = 2x - 6 = 2x - 2\times 3$

• Step2; Taking the common factor 2,

            $=2x -2\times 3\\\\ = 2(x - 3)\\\\\ let \ x-3 = y\\\\ = 2y$

           Then,

            $g( x - 3) = g(y) = 2y$

         

• Step3;  Replace x by y,

       Then,

       g(x) = 2x

Hence, The required formula of g(x) is 2x.

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