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Mathematics 17 Online
JoelTheBoss (joel_the_boss):

The year is 2033, and intelligent life has been found on Mars! Little green Martians have found their way to Earth and have appointed you as the Ultimate Math Ambassador to their planet. You must help them understand how Earthlings use math. 1.Two Martians, Splott and Fizzle, have solved the equation 2x + 4 = –3x + 14. Examine the work of Splott and Fizzle. Identify any errors in the Martians’ calculations and explain, using complete sentences, what corrections they should make.

JoelTheBoss (joel_the_boss):

JoelTheBoss (joel_the_boss):

2.Create your own function to teach the Martians about functions. Your function must contain at least two different operations. 3.Using complete sentences, prove to Splott and Fizzle that your function is a legitimate function. 4.Using your function, explain to the Martians how to solve for f(3). Show your work and explain each step using complete sentences. 5.Using complete sentences, describe to the Martians how to find the inverse of your function. 6.The Martians ask you to explain one last thing, Ultimate Math Ambassador. They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number. You will use the function f(x) that you created in problem number 2.

OpenStudy (anonymous):

Omg really..ughhhh workkk

OpenStudy (anonymous):

UHHHMMM 24?

JoelTheBoss (joel_the_boss):

lol no

JoelTheBoss (joel_the_boss):

Any ideas? @ganeshie8

OpenStudy (anonymous):

OMG WAIT IVE DONE THIS

OpenStudy (anonymous):

Splott made a mistake on step 4, he/she/it added 4 when he was supposed to do the opposite operation and subtract. And Fizzle made a mistake on step 6 instead of dividing both sides by 5 he/she/it added both sides by five

OpenStudy (anonymous):

2. Create your own function to teach the Martians about functions. Your function must contain at least two different operations.f(x)= -0.5x+1 and f(x)=3x-

OpenStudy (anonymous):

f(x)= -0.5x+1 and f(x)=3x-8

OpenStudy (anonymous):

Does this help? :T

JoelTheBoss (joel_the_boss):

no because that's same one I found on google lol

OpenStudy (anonymous):

maybe cause i happen to answer it before :T

OpenStudy (anonymous):

But I can come up with another function

OpenStudy (anonymous):

If need be?

JoelTheBoss (joel_the_boss):

please

OpenStudy (fateal):

ok, so for splott, he added 4 to both sides when he had to subtract. for fizzle, when he subtracted 14 from both sides he wrote 12 n not 10, because 14-4 = 10

OpenStudy (fateal):

these are number 2, 4, and 6 ima complete the odds in a sec ;o but is this what ur asking for?? plz check so ill know if i need to continue or stop n go for another methods. 2.To add two functions, add their outputs. For example, if f (x) = x ^2 + 1 and g(x) = x - 1 4. f(3)= (3)^2 + 1= 9+1= 10 g(3)= (3)-1 = 2 6.h (x) = x^2 + 4 f(x)= x-4

OpenStudy (fateal):

this is my final answer...tag someone to check it?? 2. f (x) = x ^2 + 1 and g(x) = 5x - 2 3.In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. 4. First thing we do is plug in the number 3 in both equations. Then we solve. f(3)= (3)^2 + 1 (plug in number 3) =9+1= 10 (take the square root of 3 then add it to 1) g(3)= 5(3)-1 = (plug in number 3) =15-1= 14 (multiply 3 by 5, then subtract 1 from it) 5. First thing we need to set the equation to equal y. y= 5x - 2. Add 2 to both sides (2+) y= 5x - 2 (+2) = (y+2= 5x) Then divide 5 on both sides (/5)y+2= 5x (/5) = (x= (y+2)/5) Finally switch the y with x and put f-1.y= (x+2)/5= f-1(x)=(x+2)/5 h (x) = x^2 + 4 h (1) = (1)^2 + 4 =1+4= 5 f(x)= x-4 f(1)= (1)-4 = -3

OpenStudy (fateal):

6. h (x) = x^2 + 4 h (1) = (1)^2 + 4 =1+4= 5 f(x)= x-4 f(1)= (1)-4 = -3

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