MAT 136 exam 2-with 100% verified solutions-2023-2024
Question
Show your work and explain how you arrived at your answer.
... [Show More] Answers with no relevant explanations do not show an understanding of the topic and may get reduced or no credit.
f(g(x)) = sqrt(x^2 + 5) + 6 -Substitute g(x) into f(x)
g(f(x)) = (sqrt(x) + 6)^2 + 5 -Solve for (sqrt(x) + 6)^2
(sqrt(x) + 6)^2 = x + 12sqrt(x) +36 -Insert back to the formula
g(f(x)) = x + 12sqrt(x) +36 + 5 -Simplify g(f(x)) = x + 12sqrt(x) +41
Keywords:
Partial Grades:
Ungraded Grade: 0/1.0 F 0%
Total grade: 1.0×1/3 + 1.0×1/3 + 0.0×1/3 = 33% + 33% + 0%
Feedback:
Let's begin by substituting g(x) into f(x).
f(g(x)) = √(x2 + 5) + 6
= √x2 + 5 + 6
Now we can substitute f(x) into g(x).
Question
g(f(x)) = (√x + 6 )2 + 5
= x + 12√x + 36 + 5
= x + 12√x + 41
Q2 0/0.0 0% View Original Response Unfiltered Response
Auto graded Grade: 1/1.0 A+ 100%
of
Your response Correct response
13 13
Auto graded Grade: 1/1.0 A+ 100%
Auto graded Grade: 1/1.0 A+ 100%
of
Your response Correct response
7 7
Auto graded Grade: 1/1.0 A+ 100%
units
Show your work and explain how you arrived at your answer. Answers with no relevant explanations do not show an understanding of the topic and may get reduced or no credit.
Ungraded Grade: 0/1.0 F 0%
Total grade: 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 0.0×1/5 = 20% + 20% + 20% + 20% + 0%
Feedback:
The graph of the function g(x) =
1
1
x is centered at the origin. The graph of the translated function
f(x) =
x + 7 + 13 is the graph of g(x) shifted up 13 units and left 7 units. The graph of f(x) is
centered at (- 7, + 13) as x can not be equal to - 7 and y can not be equal to + 13.
Q3 View Original Response Unfiltered Response
Auto graded Grade: 1/1.0 A+ 100%
by
Your response Correct response
5 5
Auto graded Grade: 1/1.0 A+ 100%
units
Shifted
Your response Correct response
up up
Auto graded Grade: 1/1.0 A+ 100%
by
Your response Correct response
6 6
Auto graded Grade: 1/1.0 A+ 100%
units
Vertically stretched by a factor of
Your response Correct response
2 2
Auto graded Grade: 1/1.0 A+ 100%
Which of the following best represents the graph of this function, considering the location (quadrant) of the vertex and the direction that the graph opens?
Your response Correct response [Show Less]