Tutors Answer Your Questions about Functions (FREE)
Question 87828: I have a question that states: find each expression as a single radical then simplify your answer double squareroot 80. I do not know how to type this in so hopefully you can help by the way that I have done it.
Click here to see answer by rapaljer(4671)   |
Question 88131: please solve and show work also : thank you!!
f(x) = -4x+2
g(x) = 6x2 + 4x -5
Find: g(x) + f(x) is it a function or not
t(x) = 5x - 12x2 and r(x) = -4x2-5x+34
Find: r(x) + t(x) - is it a function
g(x)=(x2-3x)
f(x)=(6x-2)
Find: g(x) *f(x) it is function
Click here to see answer by Nate(3500) |
Question 88139: Please solve, show work and simplify
1. f(x)=3x-2
g(x)=x2-3x
Find: (fog)(x) - is it a function or not
2. f(x)=3x-2
g(x)=x2-3x
Find: (gof)(x)
3. t(x)=3x-(x2-1)
g(x)=2x+3
Find: (got)(x)
I am soooooo confused and have not idea how to do this - HELP!!
redrobyn47
Click here to see answer by Flake(45) |
Question 88350: Topic #2
i try this problem but i think i havnt get them the right way i even show it
to my sister but she do not how to do it so i think that you the only person
that could help
1. Answer the following questions for each of the functions below:
Find the domain and range of the function.
Name two coordinates on the graph of the function.
How does the graph behave as x increases?
Write the equation of the vertical asymptote in the graph of the function.
Graph the function by hand, and check your result with your calculator.
a. y=1+log3x b.y=log1/4x
c. y=ln(x-1) d.2 ln(x)-1
2. Rewrite the following expressions using a single logarithm.
a. log(3x)+2log(y)-log(z-1)
b.1/3ln(h)-log2(k)+ln(4m^2)
3. Using the function given in this lesson,p(h)=-log(h) , answer the
following questions:
a. What is the pH value of a solution with 0.004 mole of hydrogen ion?
b. What is the concentration of hydrogen ions of a solution with a pH of
7.2?
topic#3
1. Using the function given in Topic #2, p(h)=-log(h) , what is the
concentration of hydrogen ions of a solution with a pH of 7.2? Use the
techniques you learned in this lesson to solve this problem, and check it
with your answer to #3 in your homework assignment for Topic #2.
2. Using the function M(x)=log(1000x),find the number of millimeters the
seismic reading is 100 km from the center of an earthquake that measures 4.1
on the Richter scale.
3. Solve the following equations, using the definition of logarithms:
a.lne^-3x=9 b.logx9=2
c.log1/2(x-3)=-4 d.ln(x+1)-lnx=2
topic4
1. You invest $6000 into an account paying 3.75% annual interest compounded
bimonthly, and you want to have $10,000 saved for your first year of
college.
a. How long will it take for your investment to grow that large? Solve
this algebraically, and then check your answer graphically.
b. You have a choice to invest your money into an account paying 3.5%
annual interest, compounded continuously. Should you choose this account
over the other one? Why?
2. You’re cooking some spaghetti noodles in a pot, and you just turned off
the stove. Right when you turned the stove off, your pot was 215ºF. Ten
minutes later, your pot is 150ºF, and the temperature of your kitchen is
76ºF. (You do not remove the pot from the stove.)
a. Write an equation that represents the temperature of the pot with
respect to time, and graph your function. Write the equation of the
horizontal asymptote of your graph, and interpret what it represents in the
context of this problem.
b. When will the temperature of the pot be 90ºF? (Find your answer
algebraically.)
c. Use your graph and calculator to verify that your answer to part b) is
correct.
Click here to see answer by rapaljer(4671) |
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