The condition of the function g(2) > f(2) is incorrect. Then the false statement is D.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
If the function f(x) = 4x + 2 and g(x) = (5/2)x - 4.
The value of the function at x = 0, will be
f(0) = 4 × (0) + 2 = 2
g(0) = (5/2) × (0) - 4 = -4
The condition f(0) > g(0) is correct.
The value of the function at x = -4, will be
f(-4) = 4 × (-4) + 2 = -14
g(-4) = (5/2) × (-4) - 4 = -14
The condition f(-4) = g(-4) is correct.
The value of the function f(x) at x = 6 and the value of the function g(x) at x = 12, will be , will be
f(6) = 4 × (6) + 2 = 26
g(12) = (5/2) × (12) - 4 = 26
The condition f(6) = g(12) is correct.
The value of the function at x = 2, will be
f(2) = 4 × (2) + 2 = 10
g(2) = (5/2) × (2) - 4 = 1
The condition g(2) > f(2) is incorrect.
Then the false statement is D.
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