Questions on Algebra: Inverse operations for addition and multiplication, reciprocals answered by real tutors!

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Question 1175365: Identify the vertex and axis of symmetry of the graph of g(x) = |x| − 8.
A. (0, −8); y = −8
B. (0, −8); x = 0
C. (8, 0); x = 0
D. (−8, 0); x = −8

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Question 1175797: The step function gives information on a liquid medication used for fever or teething pain in babies and children. It shows the dosage, in teaspoons, of medication that should be given to children based on their age in years.
the graph looks: A 2-dimensional graph with ages in years from 0-9 on the x-axis and dosage in teaspoon from 0-3 on the y-axis is given. Dosage for ages between 0-1 is 0.25, between 1-2 is 0.5, between 2-3 is 1.5, between 3-5 is 2, and between 5-8 is 3 respectively.
PART C
Write the function shown in the graph as a piecewise-defined function f.

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Question 1073964: f g(x) is the inverse of f(x)=x^2-3x+5 find the point on g(x) that has a y-coordinate of 3
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Question 964949: Factorise 1+x to the power 5
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Question 962729: Find the Inverse of f(x)=(2x+1)^3 -4.
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Question 964934: A takes 20 days to complete a job X. B takes 30 days to complete the same job X. How
many days will it take A and B when they work together to complete the job X?
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Question 952012: If y varies inversely as x and y = 2 when x = 1, find x when y is 4.
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Question 941831: 8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an orange�s cost is:
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Question 962730: Find the inverse of f(x)=2log(3)X. First rewrite in exponent form instead of log form.
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Question 966904: 12x-14y= -8
-8x-14y=52

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Question 973460: Inverse of (3x-24)^4
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Question 1052317: f(x)=x
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Question 1125605: Show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f inverse and vice-versa.
f(x)=6-5∛(x-8)

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Question 1063820: let f (x) = x^2 + 8x and g(x) = 1-x find (f/g) (x) and (f/g) (4)
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Question 996148: The product of a number and its reciprocal increased by seven

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Question 1069387: find explicit formula for the nth term of the sequence with initial terms.
a) 3,6,12,24,48
b)4/9,-8/27,16/81,-25/243
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Question 925827: 1/2 (x+4)= 4x +1

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Question 968814: If y varies inversely as x, and y=12 when x=7, find y when when x=10.
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Question 1019662: Find the inverse equation of f(x)=(x^3-7)^5.
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Question 994518: x/2+1+2 is less than or equal to 8
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Question 915277: The highest point on earth has an elevation of 8850 meters. The lowest point has an elevation of -11033 meters. What is the difference between the two elevations?
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Question 929248: inverse of y=2/x+6

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Question 968122: Find a formula for the inverse of the function, if the function is one-to-one. If not, state that the function is not one-to-one for
F(x)=5x-3
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Question 989726: Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.
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Question 915121: Find the inverse of g(x)= 4/9x-16/9 and then graphing it. I know the steps to finding the inverse, but I get confused on actually solving it!
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Question 1176512: -8x + 14 = -2(4x - 7)
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Question 928817: If they f (x) =2 x ^2 + 3x -1, Find f(2x),f(-2),f(0).?

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Question 968121: Find a formula for the inverse of the function, if the function is one-to-one. If not, state the function is not one-to-one for
F(x)=x^3-1
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Question 1056267: Find the inverse of the function:
g(x)=2x-3/4+x

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Question 1021945: List all of the 2-digit numbers that can be made with 3 or 4 as the ten digit and 1,6,7,8 or 9 as the one digit.
Tens Digit. One's Digit Combinations
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Question 981759: An experiment consists of randomly selecting a card from seven cards numbered from 1 to 7. One card is selected at random and replaced.
What is the probability of selecting two odd numbers? (write your answer as a fraction in simpliest form)
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Question 992901: Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -7x2 + 3x + 5.
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Question 1147015: findf^(-1) (x) for each function. f(x)=-2x-13

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Question 887895: share $36.00 among 3 friends giving 1 friend $6.00 more than the other friend, third friend got $3.00 more than the first one

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Question 887895: share $36.00 among 3 friends giving 1 friend $6.00 more than the other friend, third friend got $3.00 more than the first one

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Question 917546: CONSIDER THE FUNCTION F(X) = 1/2x + 1
find the inverse of f(x) and name it g(x). show and explain your work.
b. use function composition to show f(x) and g(x) are inverses of each other.
then i need to be shown how to graph it on a X Y graph
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Question 1112584: Please need your help in Solving the following system of linear equations
3x+2y=7
4x+3y=10
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Question 997379: A certain type of bacteria grows according to the function P(t)=1,500e^(0.1712t),where P(t) is the number of bacteria present after t hours. What is the initial number of bacteria?
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Question 874136: Find the inverse of the function.
g(x)=-1/4x-9/5

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Question 867834: Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse.
{(-2, 4), (2, -4), (8, -2), (-8, 2)}
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Question 914372: vmjSCY http://www.QS3PE5ZGdxC9IoVKTAPT2DBYpPkMKqfz.com
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Question 1017128: If g(x) is the inverse of f(x)=√(x^3) + 1 .
which of the following is on g(x)?
A). (4,9)
B). (9,4)
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Question 864892: Find the inverse of each function, if it exists. Show your work and circle your answer.
f(x)=10x cubed
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Question 864891: Find the inverse of each function, if it exists. Show all your work & circle your answer
F(x)= 1/3x-5
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