Question

Find (f(x+h)-f(x))/(h) using this function: f(x)=4x+3

Answer 1

The expression (f(x+h)-f(x))/(h) using the function f(x)=4x+3 is equal to 4.

Step-by-step explanation:

To find the expression (f(x+h)-f(x))/(h) using the function f(x)=4x+3, we substitute the values into the equation.

1. First, we substitute f(x+h) into the numerator of the expression:
2. (f(x+h)-f(x))/(h) = (4(x+h)+3 - (4x+3))/(h)
3. Next, we simplify the numerator:
4. (4x+4h+3 - 4x - 3)/(h) = (4h)/(h) = 4

Therefore, the expression (f(x+h)-f(x))/(h) is equal to 4.