Answer:
A
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]
Therefore, answer is A.
Answer:
Step-by-step explanation:
Algebra II: Part 2 James Madison
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Question 1 5 / 5 points
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).
A: (f – g)(x) = –x2 –2x + 2
Question 2 5 / 5 points
Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).
A: (g – f)(x) = 3
Question 3 5 / 5 points
Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).
A: (f ∘ g)( – 5) = –41
Question 4 5 / 5 points
Which of the following is the inverse relation of the set below?
A: {(3,–2), (–4,7), (7,3), (4,8)}
Question 5 5 / 5 points
What is the inverse of f(x) = 2x2 –4?
A: y = ±x+24−−−√
Question 6 5 / 5 points
Which of the following function pairs are inverses?
A: f(x) = 2x – 3 and g(x) =x+32
Question 7 5 / 5 points
Which of the following is true?
A: The horizontal line test is used to determine if a function's inverse will be a function.
Question 8 5 / 5 points
Evaluate81−−√4
A: 3
Question 9 5 / 5 points
Evaluate 1251⁄3.
A: 5
Question 10 5 / 5 points
Use the properties of exponents to simplify the expression 2(x13)65⋅y23.
A: 2x25⋅y23
Question 11 5 / 5 points
A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?
A: 120 strands of bacteria
Question 12 5 / 5 points
Simplify 36√3√.
A: 23–√
Question 13 5 / 5 points
Simplify 73–√+12−−√−75−−√.
A: 43–√
Question 14 5 / 5 points
Simplify 2–√×22–√.
A: 4
Question 15 5 / 5 points
Simplify 83−−√.
A: 26√3
Question 16 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=2x−−√4−5
Question 17 5 / 5 points
Identify the graph of f(x)=x−2−−−−√3−3.
t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"
Question 18 5 / 5 points
Identify the graph of f(x)=6x−−√4−1.
It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded
Question 19 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=x−1−−−−√5+5
Question 20 5 / 5 points
Solve the inequality x+2−−−−√4>2.
A: x>14
Question 21 5 / 5 points
Solve the inequality −2x−−−−√−1<3.
A: −8<x≤0
Question 22 5 / 5 points
Solve the equation 2x−1−−−−−√=5.
A: x = 13
Question 23 5 / 5 points
Solve the equation x+1−−−−√+5=3.
A: There is no solution.
Question 24 5 / 5 points
Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).
A: 2x3–√
