Unformatted text preview: 4. Find the domain of the function ( x ) = ln( x +1)+ln( x-1). Then ﬁnd all x such that ln( x +1)+ln( x-1) ≤ 1. 5. (a) Explain why arcsin x = arctan ± x √ 1-x 2 ² for every x in the interval (-1 , 1). (b) Sketch y = arctan( x-1), clearly indicating all intercepts and asymptotes. 6. Let f ( x ) = ³ 1 + x when x < e x when x ≥ (a) Sketch the graph of f and also the graph of its inverse function f-1 oncoordinateaxes± (b) Use the graph of the function f-1 that you obtained above to write a formula for f-1 ( x )....
View Full Document
- Fall '08
- Math, Inverse function, Inverse trigonometric functions, C. B. Chua, Evaluate cos, C. Struthers