Question:
Let f(x) = x2 , g(x) = tan x and h(x) = log x . What is [fo(fof)](2) equal to?
Let f(x) = x2 , g(x) = tan x and h(x) = log x . What is [fo(fof)](2) equal to?
Options:
- 256
- 16
- 2
- 8
- 256
- 16
- 2
- 8
Correct Answer: a)
Explanation:
‘ Gi√en, ‘
(x) =x2, g(x) = tan x and h(x) = log x
1 (fo)(x) = Ff(x)
2
= (2%) =a
Now, fo(fon (x) = f(fof) (x)
hon a
2
= (a*)” =a
bo folfo)(2) = 2° = 256
‘ Gi√en, ‘
(x) =x2, g(x) = tan x and h(x) = log x
1 (fo)(x) = Ff(x)
2
= (2%) =a
Now, fo(fon (x) = f(fof) (x)
hon a
2
= (a*)” =a
bo folfo)(2) = 2° = 256