Question

2. Assume f(x) = g(x). Which of the following functions may be used to represent the equation 3x+2 = 7x + 6? A. f(x) = x + 2, g(x) = 7x + 6 B. f(x) = 37x+6, g(x) = 7(3x+2) + 6 C. f(x) = 3x+2, g(x) = 7x + 6 D. f(x) = 7*+2, g(x) = 3x + 6​

Answer 1

C. f(x) = 3·x + 2, g(x) = 7·x + 6

Explanation:

The given equations relates to the property of equality of values;

The given formula for the association between f(x) and g(x) is f(x) = g(x)

The given equation of two expressions is 3·x + 2 = 7·x + 6

By transitive property of equality, the two above equations are correct when f(x) = 3·x + 2 and g(x) = 7·x + 6

Therefore, the function that may be used to represent the equation is option C; f(x) = 3·x + 2, g(x) = 7·x + 6.