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Let `f,\ g` be two real functions defined by `f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot` Then describe each of the following function: `f^2+7f`

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`(f^2+7f)(x)=f(x)f(x)+7f(x)`
`=sqrt((x+1))sqrt((x+1))+7sqrt((x+1))`
`=x+1+7sqrt((x+1))`
Domain of `f^2+7f` is same as domain of `f`.
Domain of `f^2+7f=[-1, oo)`
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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
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  2. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

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  3. Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)...

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  8. Write the range of the real function f(x)=|x|dot

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  12. Write the domain and range of function f(x) given by f(x)=1/(sqrt(x-[x...

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  13. Write of the domain and range of f(x)=sqrt(x-[x])dot

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  14. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x).

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  15. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

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  16. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

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