Functions f and g are defined by

i. Express f(x) in the form a(x + b)² + c, where a, b and c are constants.

ii. State the range of f.

iii. State the domain of f⁻¹.

iv. Sketch on the same diagram the graphs of y = f(x), y = g(x) and y = f⁻¹(x), making clear the relationship between the graphs.

v. Find an expression for f⁻¹(x).

Transcribed Image Text:

f:x2x²8x+10 g: x + x for 0≤x≤ 2, for 0≤x≤ 10.