Final answer:
The difference quotient for the function f(x) = 4x + 5 simplifies to 4 after calculating and simplifying. The correct answer is A. 4.
Step-by-step explanation:
To find the value of the difference quotient for the function f(x) = 4x + 5, we start by computing the expression:
(f(x+h) - f(x)) / h
where 'h' is a non-zero number, and f(x) is our function.
So we have:
(f(x+h) - f(x)) / h = ((4(x+h) + 5) - (4x + 5)) / h
which simplifies to:
(4x + 4h + 5 - 4x - 5) / h
And further simplifies to:
4h / h which equals 4.
The correct answer is A. 4