Answer questions and show work for attached quiz 4.

Additionally, on a separate document show work for the below question. Answer is attached. Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using interval notation

17. f(x) = |x + 1|, g(x) = √

Quiz 4 – SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

University of Maryland Global Campus

SUMMER 2020, MATH 107 6387

Quiz 4

Prof.

Minhtri Ho

Quiz 4 has 10 problems with each problem being worth 10 points.

The total score of Quiz 4 is 100 points and it counts for 10 % of the final grade of the class.

Please submit Quiz 4 by 11:59 PM Eastern Time June 30, 2020.

Problem 1:

Find all real number solutions to the following equation:

5 − (2x − 1)2 = 0

Problem 2:

Find all real number solutions to the following equation:

1 2 3

x−

=

2

4

Problem 3:

Perform the indicated operations

(1 − 3i) − (4 + i)

Problem 4:

Find the complex solutions to the following equation1 :

x4 − x2 − 2 = 0

1

Remember, all real numbers are complex numbers, so complex solutions means both real and non-real

answers.

SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

Quiz 4 – SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

Problem 5:

Graph the following functions starting with the graph of f (x) = x2 and using transformations. Find the vertex, state the range and find the x− and y−intercepts, if any exist.

g(x) = (x − 2)2 − 1

Problem 6:

Find the degree, the leading term, the leading coefficient, the constant term and the end

behavior of the given polynomial.

f (x) = 4×5 − x2 + 2x + 5

Problem 7:

Find the domain of the following rational function. Write it in the form

functions p and q and simplify:

f (x) = 1 −

3

x+1

Problem 8:

Sketch a detailed graph of:

f (x) =

2x

x2 − 1

Problem 9:

Perform the indicated operation and simplify

10x(x − 3)−1 + 5×2 (−1)(x − 3)−2

SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

p(x)

q(x)

for polynomial

Quiz 4 – SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

Problem 10:

Solve the rational equation.

2x

=5

x+3

SUMMER 2020 – MATH 107 6387 – COLLEGE ALGEBRA

17. For f(x) = 2 + 1 and g(x) = 0

. (gof)(x) = V12+1, domain: (-00,00)

(fog)(x) = 1 +11 = Væ+1, domain: (0.00)

. (

ff)(x) = ||2 +1| + 11 = +1| +1, domain: (-00,00)