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Function f: R to R and g : R to R are d...

Function `f: R to R and g : R to R ` are defined as `f(x)=sin x and g(x) =e^(x)` .
Find (gof)(x) and (fog)(x).

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The correct Answer is:
`(gof)(x)=e^(sinx), (fog)(x)=sine^(x)`
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NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS -Exercies 1b
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  5. If Q is the set of rational numbers, then prove that a function f: Q t...

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  6. If R is the set of real numbers then prove that a function f: R to R ...

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  7. Prove that the function f: R^(+) to R which is defined as f(x)=log(e)...

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  8. If R is the set of real numbers prove that a function f: R -> R,f(x)=...

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  12. If a function f: R to R is defined as f(x)=x^(3)+1, then f is

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  13. Function f: R to R and g : R to R are defined as f(x)=sin x and g(x) ...

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  14. If f: R to R and g: R to R be two functions defined as f(x)=2x+1 an...

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  15. If f and g are two functions from R to R which are defined as f(x)=x^(...

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  16. If f: R to R and g: R to R be two functions defined as f(x)=x^(2) an...

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  17. If f: R to R defined as f(x)=3x+7, then find f^(-1)(-2)

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  18. If Q is the set of rational numbers and a function f:Q to Q is define...

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