Composition of functions
Functions of Class 11
Composition of functions
Let f : A→ B and g : B → C be functions then gof : A → C defined by
(gof) (x) = g(f(x)).
Note that if gof is defined then fog may not be defined or equal
fog example if f : R → R and g : R → R.
Such that f(x) = cos x and g(x) = x3
Then go f(x) = cos3x and fog(x) = cos x3.
- Introduction
- Algebraic Operations On Functions
- Type of Functions
- Composition of functions
- Invertible Functions
- Domain and Range of Inverse Trigonometric Functions
- Odd And Even Functions
- Periodic Functions
- Methods to Find Period of A Periodic Function
- Signum Function
- Greatest Integer Function
- Modulus Function or Absolute Value Function
- Rational And Irrational Function
- Algebraic And Transcendental Function
- Explicit Function
- Exercise 1
- Exercise 3(Subjective)
