MATH 107 UMBC Common Factors in the Numerator and Denominator Questions

MATH 107 UMBC Common Factors in the Numerator and Denominator Questions


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MATH 107 Quiz 5 MATH 107_SU21 QUIZ 5 Name:______________________ Date:_____________ Please show your work for all problems, and express your answers using exact values. Express fractions in simplest form, including rationalizing all denominators. Problem/Solution 1 score Given the functions () = − 3 √ and () = 3 2 − 1, find the following values if they exist. a) ( ∘ )(3) b) ( ∘ )(−1) 4 c) ( ∘ ) (9) √2 d) ( ∘ ) ( 3 ) 2 2 Given the functions () = and () = , find and simplify the following +2 2−1 functions, then state the domain of each in interval notation. a) ( ∘ )() b) ( ∘ )() 3 Determine whether the function ℎ() = 2+9 is −3 one-to-one a) analytically, by testing ℎ() = ℎ() b) graphically, by using the horizontal line test Page 1 of 3 MATH 107 Quiz 5 4 3− Given the one-to-one function () = +3 a) State the

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MATH 107 UMBC Common Factors in the Numerator and Denominator Questions

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UNFORMATTED ATTACHMENT PREVIEW

MATH 107 Quiz 5 MATH 107_SU21 QUIZ 5 Name:______________________ Date:_____________ Please show your work for all problems, and express your answers using exact values. Express fractions in simplest form, including rationalizing all denominators. Problem/Solution 1 score Given the functions () = − 3 √ and () = 3 2 − 1, find the following values if they exist. a) ( ∘ )(3) b) ( ∘ )(−1) 4 c) ( ∘ ) (9) √2 d) ( ∘ ) ( 3 ) 2 2 Given the functions () = and () = , find and simplify the following +2 2−1 functions, then state the domain of each in interval notation. a) ( ∘ )() b) ( ∘ )() 3 Determine whether the function ℎ() = 2+9 is −3 one-to-one a) analytically, by testing ℎ() = ℎ() b) graphically, by using the horizontal line test Page 1 of 3 MATH 107 Quiz 5 4 3− Given the one-to-one function () = +3 a) State the

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