MTH 173 Calculus I Calculus Readiness Test (Take home test, NO calculator allowed!). Student Name ______________________________ Date __________________ Work out each problem on this test paper without using calculator. Show all your steps in orderly fashion and circle your final answer. Staple and turn in at the beginning of class on August 24, 2017. 1. Simplify the following expression 4 + 4 + 4 2. Find the real solution of the following equation 4( + 1)2 + 6( + 1) + 2 = 0 Solve each inequality. Graph and express the answer in interval notation. 4) 5x 10 25 3) | 2 x 5 | 6 5. Write the expression 1 2 1 (1)2 + 2(1) 2 3 , < 1 as a single quotient in which only positive exponents and or radicals appear. 6. Find (+)() when () = 2 + 2 . 7. Find the domain of each function () = 1 2 25 () = () = 4 1 3 3 64 For numbers 8-9, determine algebraically the given function is EVEN, ODD or NEITHER. f(x) = 3x 3 x () = 4 4 2 10. Find ( f g )( x) if 11. If f ( x) x1 2 and g ( x) f ( x) x2 2 , find the INVERSE 4 x 1 f 1 ( x) . . 12. Solve log 3 ( 2) = 3 13. Solve the equation 41+2 = 64 14. Find the domain () = ln( 6) 15. Give the exact value of cos-1(0) and tan-1(1)