Let f : R → R : f(x) = (3 - x3)1/3. Find f o f.

To find: f o fFormula used: (i) f o f = f(f(x))Given: (i) f : R → R : f(x) = (3 - x3)1/3We have,f o f = f(f(x)) = f o f = = = = = xAns) f o f (x) = x

Q14 of 99 Page 53

Let f : R → R : f(x) = (3 - x³)^1/3. Find f o f.

To find: f o f

Formula used: (i) f o f = f(f(x))

Given: (i) f : R → R : f(x) = (3 - x³)^1/3

We have,

f o f = f(f(x)) =

f o f =

= x

Ans) f o f (x) = x

Let f (x) = x + 7 and g(x) = x -7, x ∈ R. Find (f o g) (7).

Let f : R → R and g : R → R defined by f(x) = x² and g(x) = (x + 1). Show that g o f ≠ f o g.

Let f : R → R : f(x) = 3x + 2, find f{f(x)}.

Let f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)). Write down g o f.