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multiple choice correct type: if y = f(x)=x+2/x-1 then options:a-f(1)=3 b-y is increasing with x for x less than 1 c-f(y)=x d-f is a rational function of x. not able to click option c and d please explain how to reason them. answer:only c

multiple choice correct type: if y = f(x)=x+2/x-1 then options:a-f(1)=3  b-y is increasing with x for x less than 1 c-f(y)=x d-f is a rational function of x.  not able to click option c and d please explain how to reason them. answer:only c

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1 Answers

Y RAJYALAKSHMI
45 Points
9 years ago
to find f(y), substitute y value = x+2/x-1 in place of x of f(x)
 
So, f(y) = [(x+2/x-1) + 2] /[(x+2/x-1)-1] = x
 
So the answer is “C”
 
f(x) is not defined for x = 1,   – “D” is not correct answer
 
 
 
 

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