Question
Suppose f(x)=(x+1)2 for x≥1. If g(x) is the function whose graph is reflection of the graph of f(x) with respect to the line y = x, then g(x) equals:
Answer: Option C
:
C
Reflection of a function about the line y=x is nothing but finding the inverse of the function. So the question basically is to find the inverse of f(x)
y=(x+1)2
√y−1=x
Replace y with x gives inverse function of f(x)
f−1(x)=√x−1
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:
C
Reflection of a function about the line y=x is nothing but finding the inverse of the function. So the question basically is to find the inverse of f(x)
y=(x+1)2
√y−1=x
Replace y with x gives inverse function of f(x)
f−1(x)=√x−1
Was this answer helpful ?
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