Solve my written homework, it's about functions and inverse functions. and finding domains of functions / inverse functions, and determine functions

6. Determine functions f(x) and g(x) so that (fogXx): 1I'l:3;.:+5. Which one of the following could NOT be choices for f(x) and g(x)? (A) f(x)= n+5 and g(x)-12x as) f(x)=~/J_r and g(x)-12x.s (C)(1))f(x)= Jx+2 and g(x)-12x+3 f(x) = %x + 5 and g(x) - 24x (E) f(x)= J; and g(x)-24x+s 7. Determine a formula for the inverse function for 33(15): 2x + i . I 4x 5 5x + 2 A h h\" = ( ) ( 6x+2 (B) (I) 4x6 5x 2 61 - 2 C h\" 5-1 = U U 4x+6 (D) (I) 4x+5 (E) None of these . 1 . 2x + 3 8. Determine the value of g (7) 1f g(x)= 4 . x (A) 17 (B) 17 (C) 3 (D) E (E) None ofthese 1 1 3 5 S 9. An environmental accident cause pollution to spill into a lake. The cost, in millions of dollars, to remove x% of the pollution is given by the formula C = f(x) = 13265}: . Calculate f '1 (50) x and give a practical interpretation of the value. (A) f'1(50) = 80. At a cost of $80 million, one can remove 50% of the pollution. (B) f\"(50) = 80. At a cost of $50 million, one can remove 80% of the pollution. (C) f'1(50) = 12.5. At a cost of $50 million, one can remove 12.5% of the pollution. (D) f'1(50) = 12.5. At a cost of $12.5 million, one can remove 50% of the pollution