The function fff is defined by
f(x)=13(x2+2),x≥0 f(x) = \frac{1}{3}(x^2 + 2), \quad x \geq 0 f(x)=31(x2+2),x≥0Find the range of fff.
Find f−1(x)f^{-1}(x)f−1(x).
State the range of f−1(x)f^{-1}(x)f−1(x).
State the transformation which maps the graph of y=f(x)y = f(x)y=f(x) onto the graph of y=f−1(x)y = f^{-1}(x)y=f−1(x).
Find the coordinates of the point of intersection of the graphs of y=f(x)y = f(x)y=f(x) and y=f−1(x)y = f^{-1}(x)y=f−1(x).