Show that, the mapping f: RR rarr RR defined by f(x)=mx +n,where m,n, x in RR and m ne 0, is a b...

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Let f: R-{n}→ R be a function defined by f(x)=x-m/x-n, where m ≠ n. Then, (a) f is one-one onto (... Let f: R-{n}→ R be a function defined by f(x)=x-m/x-n, where m ≠ n. Then, (a) f is one-one onto (...
Prove that the mapping f: RR rarr RR defined by ,f(x)=x^(2)+1 for all x in RR is neither one-one... Prove that the mapping f: RR rarr RR defined by ,f(x)=x^(2)+1 for all x in RR is neither one-one...
Let f : R - {n} `rarr` R be a function defined by `f(x)=(x-m)/(x-n)`, where `m ne n`. Then, Let f : R - {n} `rarr` R be a function defined by `f(x)=(x-m)/(x-n)`, where `m ne n`. Then,
The function f is defined by f(x)=mx+b, where m and b are constants such that m is greater than.... The function f is defined by f(x)=mx+b, where m and b are constants such that m is greater than....
Show that the function f: R* to R* defined by f(x)=1/x is one-one and onto. If the domain R* is N Show that the function f: R* to R* defined by f(x)=1/x is one-one and onto. If the domain R* is N
In each of the following cases, state whether function is one-one, onto or bijective f:R-R f(x)=3-4x In each of the following cases, state whether function is one-one, onto or bijective f:R-R f(x)=3-4x
Show that, the mapping f:NN rarr NN defined by f(x)=3x is one-one but not onto | 12 | MAPPING OR... Show that, the mapping f:NN rarr NN defined by f(x)=3x is one-one but not onto | 12 | MAPPING OR...
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