 Composition of Functions,
a selection of answers from the Dr. Math archives.
 Why Do We Have Functions?
 Why do we have functions? Why do we have things like (g(x) = x + 3,
find g[f(2)] ?
 Composite Functions
 My students can't understand composite functions.
 Composition of Functions
 How do I find f(g(x)) if f(x) = x+2 and g(x) = 3x1?
 Evaluating Composite Functions
 If f(x) = 3, and g(x) = x^2 + 1 divided by the square root of (x^2 1),
how do you evaluate the composite function of f composed with g (f circle g)?
 Composing Functions
 I'm trying to find fofg where f(x) = 2x and g(x) = 3x^2 + 1.
What happens when you compose two functions?
 Domain of a Composite Function
 I don't completely understand how to find the domain of a composite
function. Could you please explain it?
 Composition Functions with
Added x Value
 If x = 1, evaluate g(f(f(x))). I'm confused with this added value
of x = 1.
 Composite Functions Using Logarithms
 Suppose f and g are functions defined by f(x)=x+2 and g(x)=x.
Find all x>2 for which: 3^[g(x)*logbase3 f(x)]=f(x).
