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Suppose f : R → R is defined by 
What is the range of the function?
What is the range of the function?- a)[0, 1)
- b)[0, 2]
- c)[-1, 1]
- d)[0, -1]
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Suppose f : R → R is defined byWhat is the range of the function?...
Concept:
Below are steps to find out range of function:
1. Write down y = f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Calculation:
Given that,
Cross multiply
⇒ y(1 + x2 ) = x2
⇒ y + y . x2 = x2
⇒ x2 (1 -y) = y
⇒ x2 = y/(1 -y)
Now we find out domain of g(y) which will be range of f(x)
So as we know inside root always positive values comes so,
By showing on number line we will get range [0, 1)
By showing on number line we will get range [0, 1)
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Suppose f : R → R is defined byWhat is the range of the function?a)[0, 1)b)[0, 2]c)[-1, 1]d)[0, -1]Correct answer is option 'A'. Can you explain this answer?
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