Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1178599: Given functions f and g, determine the domain of f + g.

f(x) = 2x + 7, g(x) = 3x + 9

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Question 1178597: Find the domain of the function.
f(x) =Square Root 24-X

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Question 1178607: Find the domain of the composite function f∘g.

f(x) = 3x + 6; g(x) = Square Root X

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Question 1178607: Find the domain of the composite function f∘g.

f(x) = 3x + 6; g(x) = Square Root X

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Question 1178606: Find functions f and g so that h(x) = (f ∘ g)(x).
h(x) = |5x + 2|

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Question 1178605: For the given functions f and g , find the indicated composition.

f(x) = -2x + 5, g(x) = 3x + 2
(g∘f)(x)

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Question 1178605: For the given functions f and g , find the indicated composition.

f(x) = -2x + 5, g(x) = 3x + 2
(g∘f)(x)

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Question 1178603: For the given functions f and g , find the indicated composition.
f(x) = x2 - 2x - 5,g(x) = x2 + 2x + 1
(f∘g)(5)

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Question 1178601: Find the domain of the indicated combined function.
Find the domain of (f + g)(x) when f(x) = 5 - 8x and g(x) = -2x + 5.

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Question 1178598: Given functions f and g, perform the indicated operations.

f(x) = 8x2 - 7x, g(x) = x2 - 3x - 28
Find F/G

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Question 1178596: Find the domain of the function.
f(x) = x - 5/X+6

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Question 1178548: Let f(x) = (floor(x(floor x) for x >= 0.
(a) Find all x >= 0 such that f(x) = 1.
(b) Find all x <= 0 such that f(x) = 3.
(c) Find all x>= 0 such that f(x) = 5
(d) Find the number of possible values of f(x) for 0 <= x <= 10.

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Question 1178952: https://gyazo.com/476623f75a5bf00a7c1a4802c602403e
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Question 1178971: given f(x)=5-x^2, find f(a-h)
show step by step please, not sure how to go about this one

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Question 1179021: Select ALL of the possible choices for x, that could be used to evaluate the function f(x) = 3x + 8.
3

-4
x - 2
y + 3
2.4

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Question 1179406: Given f(x) = 2x+3 and g(x) = 4-5x, determine the value of x for which f(2x) = g(1-x).
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Question 1179408: if g(x) = 3x+4, determine n such that g(-3)=g^-1(n)
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Question 1179408: if g(x) = 3x+4, determine n such that g(-3)=g^-1(n)
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Question 1179409: if f(x) = ax+b/cx+d, x≠ -d/c-a/c, find f^-1(x)
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Question 1179409: if f(x) = ax+b/cx+d, x≠ -d/c-a/c, find f^-1(x)
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Question 1179492: The denominator of a fraction is 3 more than twice the numerator. If both the
numerator and the denominator of the fraction are increased by 5, the resulting
fraction is 2/7. Find the fraction.

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Question 1179491: Hyacinth hiked 7 miles from A to B at a rate of r mph. For the return trip her rate was 2 mph faster. It took her 6 hours for the entire round trip. Find Hyacinth's hiking rate.
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Question 1179490: Marko can finish a job in 6 hours. Kira can finish the same job in 4 hours. How many hours do they need to finish the job if they work together?
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Question 1179493: Suppose that you and your friend are playing in an arcade shooting game. The average score you got after t seconds is t + 1, while your friend got t + 2.
What function will represent the ratio between your score and your friend’s score.

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Question 1179582: Suppose that the functions u and w are defined as follows.
u(x)=x^2 +6
w(x)=sqrt(x+9)
Find the following.
(wou)(7)
(uow)(7)

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Question 1179690: The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of the function at the right endpoint of the Kth rectangle?
a. 2+3k/n
b. 4+3k/n
c. 4+6k/n
d. 5+6k/n
e. 5+3k/n

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Question 1179688: What is the area (in square units) of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?
a. 10
b. 12
c. 14
d. 16
e. 18

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Question 1179716: What value must be defined for f(4) to remove the discontinuity of this function at x=4?
f(x)=x^2-16/x-4
a. 0
b. 4
c. -4
d. 8
e. -8

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Question 1179742: The function f(x) = 300(0.5) x/100 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 120 years. Round to the nearest whole number.

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Question 1179817: Find the domain and range of {(x,y)|y=3x^(2)-3x+4}
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Question 1179824: Find all functions from {4, 5, 6} to {1, 2}.
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Question 1179823: Find all functions from {4, 5, 6} to {1, 2}.
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Question 1179885: Which of the following functions has a vertical asymptote at x =4 ?
y = x−4−−−−√
y = 2x+4
y = 1x−4
y = (x−4)2

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Question 1179886: Given f(x) = x−1−−−−√ and g(x) = −x2+5x +2 . Determine the value off(5) −g(1) 

A. -4

B. 3

C. 8

D. -2

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Question 1179916: A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of a Normal window to allow in as much light as possible, if there are only 12 ft of the frame material available.
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Question 1179884: Which of the following function has a range of {y∈R}
Question 2 options:
f(x) = 2x−1−−−−−√−2
f(x) = x2−2
f(x) = 2x
f(x) = 1x−2

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Question 1179889: Given f(x) = −2x−4−−−−√ − 5, the domain of this function is {x∈R| x≥a}  and the range of this function is {y∈R|y ≤b}
state the value of a
state the value of b

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Question 1179883: Suppose f(x) − f(x+1) = 3x2 and f(3) = 48, determine the value of f(5) 
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Question 1179883: Suppose f(x) − f(x+1) = 3x2 and f(3) = 48, determine the value of f(5) 
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Question 1179887: If f(x) = 14x+2 and g(x) = −3x2+2.
determine the value of −3 g(1) 
determine the value of f−1(1) 

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Question 1179944: Use the compound interest formulas A = P(1 + r/n)^nt and A = Pe^rt to solve.
Find the accumulated value of an investment of $900 at 10% compounded quarterly for 5 years.

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Question 1179945: Use the compound interest formulas A = P(1 + r/n)^nt and A = Pe^rt to solve.
Find the accumulated value of an investment of $6000 at 7% compounded continuously for 5 years.

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Question 1179942: The function can be D(h)=9e^-0.4h used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after 11 hours?

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Question 1179949: Given f(x) = −2√x-4 − 5, the domain of this function is {x∈R| x≥a}  and the range of this function is {y∈R|y ≤b}
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Question 1179947: If g(x) = f(x − d)  + c , determine the values of d and c
state the value of d.
state the value of c.

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