Unlock the mysteries of function composition with our intuitive gof fog Calculator. Instantly compute gof(x) (g(f(x))) and fog(x) (f(g(x))) by inputting your functions and a specific 'x' value. Perfect for verifying homework, exploring function relationships, or understanding how one function's output becomes another's input. Simplify complex mathematical operations today!
Formula:
Function composition involves applying one function to the result of another. For two functions, f(x) and g(x), and an input value 'x':
- gof(x), or g(f(x)): Means applying function g to the result of function f evaluated at x.
- fog(x), or f(g(x)): Means applying function f to the result of function g evaluated at x.
The calculation sequence is always from the inside out.