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Let f and g be real functions defined by...

Let `f` and `g` be real functions defined by `f(x)=sqrt(x+4), x ge-4` and `g(x)=sqrt(x-4), x ge 4 .` Find the functions `f+g, f-g, f g, f/g`

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
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  2. Find the domain and range of the following functions: i)f(x)=1/(sqrt(x...

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  3. Let f and g be two real functions defined by f(x)=1/(x+4) and g(x)=(x+...

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  4. Which of the following relations are functions? Give reasons. If it is...

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  6. Let f and g be real functions defined by f(x)=sqrt(x+4), x ge-4 and g(...

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  7. If af(x)+bf (1/x)=1/x-5 for x ne 0, where a ne b. Find f(x)

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  8. If A={3,4,6} , B={1,3} and C={1,2,6}, then find (i) A xx(B nn C) (...

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  10. Let A be a non - empty set such that A xx B=A xx C show that B=C

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  11. Let A subset B, C subset D, then prove that A xx C subset B xx D

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  14. If f :R rarr R is defined by f(x)=x^2-3 x+2, find f(f(x)). Also evalua...

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  16. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

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  17. Draw the graph of the real function y=x^2+2 x+3

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  18. Draw the graph of the real function y={[ x, if x le 0], [ x^2, if...

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