Question

7.
If f(x)=(10 - x^7)^1/7, then fof(x) =
1) 10
2) x
3) x?
4)-1​

Answer 1

Answer:

f:R→R

f(x)=(3−x

3

)

1/3

fof(x)=f(f(x))

=(3−[f(x)]

3

)

1/3

=[3−(3−x

3

)

3

]

1/3

⇒[3−(3

3

−3.3

2

.x

3

+3.3.x

6

−x

9

)]

1/3

⇒[3−27+27x

3

−9x

6

+x

9

]

1/3

⇒[27x

3

−9x

6

+x

9

−24]

1/3