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Question

If f(x)=4x−5,g(x)=x2 and h(x)=1x, then f(g(h(x))) is

A
4(x5)
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B
1(4x5)2
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C
(x45)
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D
(4x25)
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Solution

The correct option is D (4x25)
f(x)=4x5;g(x)=x2;h(x)=1x
g(h(x))={h(x)}2=(1x)2=1x2
f(g(h(x)))=4(g(h(x)))5
=4(1x2)5=4x25
Answer: option (D)

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