The value of x for the function g(x) = 5x + 2 is x = 1.
From the question we have that the function g(x) = 5x + 2 and also defined as g(x) = 7
So we have
5x + 2 = 7
subtract 2 from both sides of the equation
5x + 2 - 2 = 7 - 2
5x = 5
divide through by the coefficient of x
5x/5 = 5/5
x = 5
Thus the function g(x) = 5x + 2 has the value for x = 1
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