- #1
Larrytsai
- 228
- 0
f o g (x) = Abs(x)
f(x)=?
g(x)= root(x)
im thinking f(x) is = to root(x) correct me if I am wrong?
f(x)=?
g(x)= root(x)
im thinking f(x) is = to root(x) correct me if I am wrong?
A composite function is a function that is formed by combining two or more functions. In this case, f o g (x) is formed by combining the functions f(x) and g(x).
The notation f o g (x) is read as "f of g of x" or "f composed with g of x". This means that the output of g(x) is used as the input for f(x).
The order of operations for evaluating a composite function is to first evaluate the innermost function, in this case g(x), and then use the output as the input for the outer function, f(x).
The domain of f o g (x) is all real numbers because the absolute value function and square root function are defined for all real numbers. The range is limited to non-negative real numbers because the output of g(x) is always positive or zero, and the output of f(x) is the square root of the input, which cannot be negative.
To graph the composite function f o g (x), first graph g(x) and then apply the transformation of f(x) on the graph of g(x). In this case, the graph of f(x) would be a reflection of the graph of g(x) over the y-axis, followed by a shift to the right by 1 unit.