A function is defined as f(x)= k(x) with k>0 and x>=0. Find the inverse function f^-1 (x) and state its domain.

Test # 2 in General Mathematics Set B Solve the following problems. Make sure to show your work and encircle your final answer. 1. Find the domain of the function. Write your answer in interval notation. [3 marks] xz - x - 12 f ( x) = x2+ x - 2 2. Given the rational function. 8x + 3 5x + 4 Find the coordinates of: (a) The x -intercept. (b) The y -intercept. 3. Solve the given rational equation. [4 marks] 3 6 + 1= x+2 (2 - x)(2 + x) 4. Determine the solution set for the inequality. [4 marks] 3 - 2x (2 - x) (x+ 2)(x -1) (x - 1)(x +2) 20 5. A function is defined as f(x) = kvx, with k > 0 and x 2 0. Find the inverse function f-1(x) and state its domain. [4 marks] 6. Let f(x) =7 - 2x and g(x) = x + 3. (a) Write down g- (x). [2 marks] (b) Find (f . g-1)(5) [2 marks]