MATH 107 Quiz 5 Name Each question is worth 5 points. Questions 1 - 5 are multiple choice; you do not need to show your work. Short answers for Questions 6 - 10; show your work to earn full credit - highlight answers in yellow or draw a box around the answer. You can insert additional lines if needed. Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form and round decimals to hundredths. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified and an equation for full credit. Check the box of the one alternative that best completes the statement or answers the question. 1.) Simplify. Assume that variables can represent any real number. 4 32 x 6 y 10 4 2 x y2 x 2 y2 16|x| y 2 2 x 2 y 2 2| xy| 2 x 2 y 2 2| x| y 2 2 x 2 y 2 4 4 4 None of these 2.) Find f(x) and g(x) such that h(x) = (f g)(x) if f ( x )=2 x12g ( x )=x 3 f ( x )=( 2 x )3g ( x ) =12 . f ( x )=x 3g ( x )=2 x12 3 h ( x )=( 2 x12 ) f ( x )=2 x 3g ( x ) =x12 None of these 3.) Determine whether 1 f ( x )=4 x 3+2 is one-to-one. If it is one-to-one, find a formula for the inverse. ( x )= 3 x2 4 f f 1 ( x )= 3 x 2 4 Not one-to-one f 1 ( x )= 3 x +2 4 None of these 4.) Calculate. 1 2 e ( ) 2 7.39 0.02 1 0.14 54.60 None of these 7 5.) Find the value of the expression. 7 3 9 3 7 log9 9 3 7 3 7 3 None of these 2 Short answers. You must show your work to earn full credit. Highlight answers in yellow or draw a box around the answer. 2 x +5 x2=3 6.) Solve. 7.) Find (f g)(x) if f ( x )= 8.) Prove that 9.) Solve. 10.) Solve. 3 102 x f ( x )=x 3 +8 x 2+7 x2 2 x6 and g(x) = x - 1. is not one-to-one. =81 log 4 x=3 3