Find the difference quotient:
f(x+h)-f(x)/h for f(x) = 4x-9 and simplify.
(4(x+h)+9) -4x-9)/h=4h/h=4
Why would you say it was 4? This is what I thought to.
To find the difference quotient, we need to substitute the given function f(x) into the formula:
Difference quotient = (f(x + h) - f(x)) / h
Given f(x) = 4x - 9, we can substitute this into the formula:
Difference quotient = ((4(x + h) - 9) - (4x - 9)) / h
Now, let's simplify this expression:
Difference quotient = (4x + 4h - 9 - 4x + 9) / h
Combining like terms, we have:
Difference quotient = (4h) / h
Simplifying further, we can cancel out the common factor of h:
Difference quotient = 4
So, the simplified difference quotient for f(x) = 4x - 9 is 4.