Final answer:
To find the equation of f(x), substitute the given value of f(2) into each equation and check which equation satisfies it. The equation that satisfies f(2) = 6 is f(x) = 2x - 2.
Step-by-step explanation:
In order to find the equation of f(x), we need to substitute the given value of f(2) into each equation and check which equation satisfies it. Let's substitute 2 into each equation:
f(x) = 3x + 2: f(2) = 3(2) + 2 = 8
f(x) = x² + 6: f(2) = 2² + 6 = 10
f(x) = 2x - 2: f(2) = 2(2) - 2 = 2
f(x) = -1° + 5x: f(2) = -1 + 5(2) = 9
Therefore, the equation that satisfies f(2) = 6 is f(x) = 2x - 2.