Given that f left parenthesis x right parenthesis equal 3 x minus 5 and that 3 f left parenthesis a right parenthesis equal f left parenthesis 2 a plus 1 right parenthesis , determine the value for 'a'.

The value of a is  .

Step-by-step explanation:

Given function is

It is given that

                .... (1)

We need to find the value of a.

Substitute x=a in the given function.

            .... (2)

Substitute x=(2a+1) in the given function.

          .... (3)

Substitute value of f(a) and f(2a+1) in equation (1) from (2) and (3).

Separating the variable, we get

Divide both sides by 3.

Therefore the value of a is  .

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step-by-step explanation:

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