# UMUC MATH107 quiz 5

1
MATH 107 Quiz 5
Each question is worth 5 points. Questions 1 â 5 are
multiple choice; you do not need to show your work. Short answers for Questions
6 â 10; show your work to earn full credit â 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.
?32????6????10 4 ? 2????????2 ?????2????2
4 ? 16|????|????2
?2????2????2
4 ? 2|????????| ?2????2????2
4 ? 2|????|????2
?2????2????2
4 ? None of these
2.) Find f(x) and g(x) such that h(x) = (f ?
g)(x) if ?(????) = (2????
? 12)3. ? ????(????) =
????3 ???????????? ????(????) =
2????
? 12 ? ????(????) =
2????
? 12 ???????????? ????(????)
= ????3 ? ????(????) =
(2????)3 ???????????? ????(????)
= ?12 ? ????(????) =
2????3 ???????????? ????(????) =
????
? 12 ? None of these

3.) Determine whether
????(????)
= 4????3
+ 2 is one-to-one. If it is one-to-one, find a formula for the inverse. ? ?????1(????) =
??????2
4 3 ? ?????1(????) =
?????
4 3 ? 2 ? Not one-to-one ? ?????1(????) =
?????+2
4 3 ? None of these
4.) Calculate. ( 1 ????2
) 2
? 7.39 ? 0.02 ? 0.14
? 54.60 ? None of these

5.) Find the value of
the expression. log9 9
7 3
? 7 3 ? 9 7 3 ? 3 7 ? ? 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. 6.)
Solve. ?2???? + 5 ? ?????
? 2 = 3
7.) Find (f ? g)(x) if ????(????)
= ????3
+ 8????2
+ 7????
? 2 and g(x) = x â 1.
8.) Prove that ????(????)
= 2 ????6
is not
one-to-one.
9.) Solve. 310?2???? = 81
10.) Solve. log4 ????
= ?3

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