f(x)= 4x+3 what is f(x+h) - f(x) divided by h
just plug in the values:
f(x) = 4x+3
f(x+h) = 4(x+h)+3
f(x+h)-f(x) = (4x+4h+3) - (4x+3) = 4h
(f(x+h) - f(x))/h = 4h/h = 4
4x-1 / 2x^2+3
To find the expression f(x+h) - f(x) divided by h, we can substitute the given function f(x) = 4x + 3 into the formula and simplify it.
Step 1: Calculate f(x+h)
Substitute x+h into the given function:
f(x+h) = 4(x+h) + 3
= 4x + 4h + 3
Step 2: Calculate f(x)
Substitute x into the given function:
f(x) = 4x + 3
Step 3: Find the difference f(x+h) - f(x)
Subtract f(x) from f(x+h):
f(x+h) - f(x) = (4x + 4h + 3) - (4x + 3)
= 4x + 4h + 3 - 4x - 3
= 4h
Step 4: Divide the difference by h
Divide the expression f(x+h) - f(x) by h:
(4h) / h = 4
Therefore, (f(x+h) - f(x)) / h = 4.