Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?

For the value of 4.

Step-by-step explanation:

Given,

f(x)=3x-1 (1),

g(x)=2x-3 (2),

From equation (1),

f(2) = 3(2) - 1 = 6 - 1 = 5, (3)

If, g(x)=f(2)

From equation (2) and (3),

2x - 3 = 5

2x = 8   ( Additive property of equality )

x = 4     ( Division property of equality )

Hence, for the value of x equal to 4, g(x) = f(2) is true.

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