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Use the difference quotient to find \(f(x) = 4x + 5

A. \(4\)
B. \(4x + 5\)
C. \(5\)
D. \(4x\)

1 Answer

5 votes

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

User Kennedy Nyagah
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