Suppose f(x) = (x+1)2 for ≥ -1. If g(x) is the function whose graph is reflection of the graph of f(x) with respect to line y = x, then g(x) equals
It is only to find the inverse.
Let y=f(x)=(x+1)2, for x≥−1⇒±√y=x+1, x≥−1⇒ √y=x+1⇒y≥0, x+1≥0⇒ x=√y−1⇒ f−1(y)=√y−1⇒ f−1(x)=√x−1 ⇒ x≥0