Find fog if f(x) = |x| and g(x) = |5x - 2|
|5x - 2|
|5|x| - 2|
||5x - 2||
5|x| - 2
If f:R → R is defined by f(x) = x2 - 3x + 2 then f(f (x)) =
x4 + 6x3 + 10x2 + 3x
x4 - 6x3 + 10x2 - 3x
x4 + 6x2 - 10x2 - 3x
x4 + 6x3 - 10x2 + 3x
The function f:R → R given by f(x) = 2x is _________
One - one
On to
Bijective
None of these
Let f:{2, 3, 4, 5} → {3, 4, 5, 9} and g = {3, 4, 5, 9} → {7, 11, 15} be functions defined as f(2) = 3, f(3) = 4,f(4) = f(5) = 5 and g(3) = g(4) = 7 and g(5) = g(11) = 11 .Find gof(3)
11
7
10
5
Let f be exponential function and g be logarithmic function. Find (gof) (1)
ex
ln(x)
1
0
A relation R on a set A is called an equivalence relation iff
It is reflexive
It is symmetric
It is transitive
It is reflexive, symmetric and transitive
Let f be exponential function and g be logarithmic function find fog(1)
Let A= {a,b,c} and B= {1,2}. Consider the relation R defined from set A to set B. Then R is equal to set
A
B
A × B
B × A
If f:R →R is defined by f(x) = x2 and g:R → R is defined by g(x) = sinx, then find gof
sin x2
sin2x
cos x
cos2x
If f(x) = ex and g(x) = log x(x > 0), then
fog = gof
fog ≠ gof
fog = x2