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Question

If f:RR be defined by f(x)=(3x5)15, be defined by fof(x) is equal to

A
x15
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B
x3
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C
x
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D
3x5
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Solution

The correct option is C x
Given f:RR be defined by f(x)=(3x5)15.
Now,
fof(x)
=f(f(x))
=(3f(x)5)15
=⎜ ⎜3{3x5}155⎟ ⎟15
=(x5)15
=x.

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