Complete attached quiz and seperatly complete attached question showing work for both. Answer is provided for single question just need work shown

Quiz 5 – SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

University of Maryland Global Campus

SUMMER 2020, MATH 107 6387

Quiz 5

Prof.

Minhtri Ho

Quiz 5 has 10 problems with each problem being worth 10 points.

The total score of Quiz 5 is 100 points and it counts for 10 % of the final grade of the class.

Please submit Quiz 5 by 11:59 PM Eastern Time July 7, 2020.

Problem 1:

Let f (x) = x2 and g(x) = 1 +

√

x. Find and simplify the indicated composite function.

Also, state the domain of the composite function.

(f ◦ g)(x)

Problem 2:

Let f (x) = |x| and g(x) = x3 + 1. Find the following value if it exists:

(f ◦ g)(−1)

Problem 3:

Let f (x) = 4 − 2x and g(x) = |x + 2|. Find the following value if it exists:

(f ◦ g)(1)

Problem 4:

Graph the function and use the Horizontal Line Test to check if the function is one-to-one:

f (x) = x2 − 2x + 2

SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

Quiz 5 – SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

Problem 5:

Find the formula for its inverse function1 :

f (x) =

x

x+1

Problem 6:

Perform the indicated operations and simplify:

√

3

64×14

Problem 7:

For the following function, state it domain and create sign diagram:

√

f (x) = x x − 1

Problem 8:

Simplify the following:

log2

1

64

Problem 9:

Evaluate the expression:

log2 3− log3 (2)

Problem 10:

Suppose $4000 is invested in an account which offers 6.25% compounded monthly.

a) Express the amount A in the account as a function of the term of the investment t in

years

b) How much is in the account after 4 years?

c) How long will it take for the initial investment to double?

1

The given function is one-to-one; you do not have to check for it

SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

27.

27.1

ilm7i+2 I (33)

27. 78+T31-2,