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1 answer:
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Answer with explanation:
Given the function f from R to
f:
To prove that the function is objective from R to
Proof:
When we prove the function is bijective then we proves that function is one-one and onto.
First we prove that function is one-one
Let
Cancel power on both side then we get
Hence, the function is one-one on domain [tex[(0,\infty)[/tex].
Now , we prove that function is onto function.
Let - f(x)=y
Then we get
The value of y is taken from
Therefore, we can find pre image for every value of y.
Hence, the function is onto function on domain
Therefore, the given is bijective function on
not on whole domain R .
Hence, proved.