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Consider the function f(x) = {{:( x^(2) ...

Consider the function f(x) = `{{:( x^(2) - 1"," , -1 le x le 1) , ( lnx "," , 1 lt x le e):}`
Let `f_(1) (x) = f (|x|)`
`f_(2) (x) = |f(|x|)|`
`f_(3) (x) = f (-x)`
Now answer the question
If `f_(4) (x) = log_(27) (f_(3) (x) + 2) ` , then range of `f_(4) (x)` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-FUNCTION-Exercise - 3
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  8. A Function f is defined for all positive integers and satisfies f(1)=2...

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  9. If a, b are positive real numbers such that a-b=2, then find the sma...

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  11. Let P(x) is a six degree polynomial with leading coefficient 1 or in o...

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  12. Computer the inverse of the function : f(x) = (x + sqrt(x^(2) + 1))

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  13. Computer the inverse of the function : f (x) = (1+x)/(1-x)

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  14. Computer the inverse of the function : y = (10^(x) - 1)/(10^(x) + 1...

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  15. If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x)...

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  17. Consider the function f(x) = {{:( x^(2) - 1"," , -1 le x le 1) , ( lnx...

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  18. Consider the function f(x) = {{:( x^(2) - 1"," , -1 le x le 1) , ( lnx...

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  19. Consider the function f(x) = {{:( x^(2) - 1"," , -1 le x le 1) , ( lnx...

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  20. The graph of the function y = f(x) is as follows. Match the funct...

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