CBSE Class 12-science - Composition of Functions Videos
Concepts related to composition of functions
Define composition of functions and establish the condition for a function to be invertible.
- Show that f:A-B and g:B-C are onto function then g°f:A-C is onto function?
- Define invertible function.
-
Let
be the functions defined as f(1) = 3, f(3) = 4, f(5) = f(7) = 8 and g(3) = g(4) = 7 and g(6) = g(8) = 10. Find gof.
-
If
are defined as f(x) = cos x and g(x) = x2. Show that 
.
-
If
and 
are one-one functions, then show that 
is also one-one.
-
If
are defined as f(x) = log (1 + x) and g(x) = ex. Find fog(x) and gof(x).
-
If
is defined as f(x) = x3 – 2. Find f–1(62).
-
Let
be defined by f(x) = 3x – 2 and 
be defined by 
Show that fog = IR.
-
Let
given by 
. Show that f is invertible with 
-
If
show that fof(x) = x for all 
. Also find the inverse of f.
