6: 41 9 ` Search "III LTE MATH 107\\ Quiz 5 This quiz is worth 50 points . Questions 1 - 5 are each worth 5 points ; do not show your work . Questions* 6 - 10 are each worth 5 points ; Show your work to earn full credit .` 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 .\\ Do not post the quiz in the assignment folder . Post only your Answer Sheet in the assignment folder . Select the letter of the one alternative that best completes the statement or answers the question ." For multiple choice questions , check that the answers are all letters ( A , B , C , D , or E ) and not a value . Write in the answer for the fill in the blank questions ." 1 . ) Find f ( X ) and g ( X ) such that h ( X ) = ( Fog ) ( X ) . h ( x ) = V12 x 2 + 21 A . F ( x ) = 12 x 2 + 21 , 9 (* ) = VX` B . F ( x ) = V X , 9 ( * ) = 12 x} + 21 C . F ( x ) = VIZ x + 21 , 9 ( x ) = *\\ D . f ( x ) = V12 x 2 , 9 ( XX ) = V 21 E. None of these 2 . ) Determine whether f ( x ) =_ _^ = it's is one- to - one . If it is one- to-one , find a formula for the inverse . A . F - 1 ( x ) = _*\\ B . F - 1 ( x ) = = 5x + 6 C . Not one - to - one D. F - * ( * ) = 5 + 6 X| E. None of these 3 . ) Write as an expression containing a single radical and simplify .` V ( 1 + 2 ) 5 \\ ( / + 2 ) 2\\ 3/ ( V + 2 ) 4\\ A. V ( + 2 ) 2\\ B . 12 /* ( + 2 ) 1 1 C . ( + 2 ) 12/ (/ + 2 ) 4) D. 2` (* + 2) 1 1\\ E. None of these 4. ) Solve the exponential equation . 31 + 2X = 243\\ A. 81 B . 6 E. None of these 5 . ) Solve the logarithmic equation . Inx = 2\\ A. ez Z e C . In 2 D. 100 None of these Short answers . You must show your work to earn full credit . 6 . ) IF f ( * ) = = and g ( * ) = 3 x( 5 , find ( 9 - F ) ( X ) . 7 . ) Find the inverse of the function of f ( x ) = VX - 2 . 8. ) Solve . VX + 6 + V2 - * = 4\\ 9. ) Solve . 4 x = 1 1 Give an approximate answer . 10 . ) True or False : f ( X ) = 2 x is an exponential function , but f ( X ) = X 2 is not . Explain why - put in the " show your work "