MATH 107 University of Maryland Composite Function Quiz

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,