Suppose f(x)=(x+1)^2forxgeq-1. If g(x) i...

Suppose `f(x)=(x+1)^2forxgeq-1.` If `g(x)` is the function whose graph is the reflection of the graph of `f(x)` with respect to the line `y=x ,` then `g(x)` equal. `(a)-sqrt(x)-1,xgeq0` (b) `1/((x+1)^2),x >-1` (c)`sqrt(x+1,)xgeq-1` (d) `sqrt(x)-1,xgeq0`

A

`1-sqrt(x)-1, x ge 0`

B

`1/((x+1)^(2)), x gt -1`

C

`sqrt(x+1), x ge -1`

D

`sqrt(x)-1, x ge 0`

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The correct Answer is:

D

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