Any equation which maps each value of x in the domain to a value in the range is a function of x.
An equation where the left is the function of the right. f(x)=x+3 is function notation. The answer is a function of what x is. f(g(x))= the answer the inside function substituted in the outside function.
For an even function, f(-x) = f(x) for all x. For an odd function, f(-x) = -f(x) for all x.
The first part of the question is false, and the correct answer is that an even function of minus x equals the function positive x. This follows from the very definition of an even function. The second part of the question is false, because the truth is that the composite function results from taking the function of x within the function g.
f(f(x)) = f(x). Only if f is 1-1 then we have a solution f(x)=x.
X squared is not an inverse function; it is a quadratic function.
y = cuberoot(x) for real x is not a rational function.
f(x) = ...f is the name of the function, and x is the variable. I guess you could say x is the root of the function, because it is what the function relies on.
The square root function is one of the most common radical functions, where its graph looks similar to a logarithmic function. Its parent function will be the most fundamental form of the function and represented by the equation, y =sqrt {x}.
y0(x) could represent a function of x but usually y(0) represents the function y that is evaluated at x = 0 and so is no longer a function of x but a constant.
The only function that can be symmetric about the x-axis is the x-axis itself. For each value of x a function, f(x), can have at most one value for f(x). Otherwise it is a mapping or relationship but not a function.
Function "f" depends on "x", and function "g" depends on function "f".
It is not a function. A function is a formula, not a shape. A function would be like F(x) = 2x + 5, where you plug in a value for x, and you get an answer F(x).