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If f(x)=ax+b and g(x)=cx+d, then f(g(x))...

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to (A) f(a) = g(c ) (B) f(b) = g(b) (C) f(d) = g(b) (D) f(c ) = g(a)

A

`f(x^(2))=[f(x)]^(2)`

B

`f(|X|)=|f(x)|`

C

`f(x+y)=f(x)+f(y)`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
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  3. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  4. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  10. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

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  16. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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  20. If the function f: R->R be such that f(x)=x-[x] , where [x] denotes th...

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