f (x) refers to a function named "f" that accepts input values of "x". h (a) refers to a function named "h" that accepts input value of "a". It is not likely that they are the same function.

A calculus-based justification is when we explain a property of a function f based on its derivative f'. See a good example (and a few wrong ones) for how to do this when explaining why a …

f (x) is y. If you have an equation like: y = 2x+3, it can be changed into function notation by replacing y with f (x): f (x)=2x+3 The "x" is the input to the function. F (x), which is "y", is the …

The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0.

So the way it's graphed right over here, we could assume that this is the entire function definition for f of x. So for example, if we say, well, what does f of x equal when x is equal to negative 9?

If you are talking about the function, you can use just the letter to distinguish it from other functions that may be in the same problem or you could say f (x).

Discover how to determine the value of the function f (x) = (√ (x+4) - 3) / (x - 5) at x = 5 to ensure continuity. By employing algebraic techniques like rationalization and factoring, we can find the …

In the first inverse function video, I talked about how a function and their inverse-- they are the reflection over the line y equals x. So where's the line y equals x here?

Learn how to build a mapping diagram for a finite function, and how to use this diagram to determine if the function is invertible. An invertible function has a one-to-one mapping between …

Through a worked example involving f (x)=√ (x²-1) and g (x)=x/ (1+x), learn about function composition: the process of combining two functions to create a new function.