CBSE Class 12-science Answered
If 
are defined as f(x) = cos x and g(x) = x2. Show that 
.
are defined as f(x) = cos x and g(x) = x2. Show that .
Asked by Topperlearning User | 17 Apr, 2014, 08:40: AM
Expert Answer
We f(x) = cos x and g(x) = x2.
gof(x) = g(f(x)) = g(cos x) = (cos x)2 = cos2x
and fog(x) = f(g(x)) = f(x2) = cos(x2).
Hence, 
.
.
Answered by | 17 Apr, 2014, 10:40: AM
Concept Videos
-
Concepts related to composition of functions
Define composition of functions and establish the condition for a function... -
Composition of Functions
This video covers the definition of composition of functions and establish ... -
Composition Of Functions
Define composition of functions and establish the condition for a function...
CBSE 12-science - Maths
Asked by hemanttkumarr | 31 May, 2018, 08:46: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 27 Aug, 2014, 01:39: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
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.Asked by Topperlearning User | 26 Apr, 2016, 10:18: AM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 17 Apr, 2014, 08:40: AM
ANSWERED BY EXPERTCBSE 12-science - Maths
and 
are one-one functions, then show that 
is also one-one.Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
are defined as f(x) = log (1 + x) and g(x) = ex. Find fog(x) and gof(x).Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
is defined as f(x) = x3 – 2. Find f–1(62).Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
be defined by f(x) = 3x – 2 and 
be defined by 
Show that fog = IR.Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
given by 
. Show that f is invertible with 
Asked by Topperlearning User | 26 Apr, 2016, 09:37: AM
ANSWERED BY EXPERTCBSE 12-science - Maths
show that fof(x) = x for all 
. Also find the inverse of f.Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
