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horsegirl27
 one year ago
Please help me out!! I have work for the first part of this question, but then I'm confused. When reading it, it seems like parts 2 and 3 are the same, so I would like some clarification of what to do. For part 4, I'm not quite sure either....
Question posted below.
horsegirl27
 one year ago
Please help me out!! I have work for the first part of this question, but then I'm confused. When reading it, it seems like parts 2 and 3 are the same, so I would like some clarification of what to do. For part 4, I'm not quite sure either.... Question posted below.

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horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses. f(x)= x+a b g(x)=cx−d Part 2. Show your work to prove that the inverse of f(x) is g(x). Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry, those functions are messed up, let me fix that.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0f(x)=x+a/b g(x)=cxd

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0So, for part 1, I have f(x)=x+3/5 and g(x)=5x3. I'm not sure of what I'm doing in parts 2 and 3.

phi
 one year ago
Best ResponseYou've already chosen the best response.1is f(x) \[ f(x) = \frac{x+a}{b} \]?

phi
 one year ago
Best ResponseYou've already chosen the best response.1so we could write \[ f(x) = \frac{1}{b} x + \frac{a}{b} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1just thinking out loud. For part 2, they want you to show the functions are inverses. start with your: f(x)=(x+3)/5 g(x)= 5x3 if they are inverses then f( g(x) ) = x

phi
 one year ago
Best ResponseYou've already chosen the best response.1f( g(x) ) is shorthand for : everywhere you see "x" in the expression for f(x), erase the x and write g(x) using f(x)=(x+3)/5 g(x)= 5x3 f( g(x) ) = ( g(x) +3 ) /5

phi
 one year ago
Best ResponseYou've already chosen the best response.1now we use g(x) = 5x3 in f( g(x) ) = ( g(x) +3 ) /5 in other words, on the right hand side, replace g(x) with its "definition" 5x3 can you do that ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1you should get \[ f( g(x) ) = \frac{( 5x3 +3)}{5} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1now simplify that. For part 3, do almost the same thing show g( f(x) ) = x

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0And I am so sorry, I was gone for a moment.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so that's what I got for that part.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0So for part 3, to I basically just solve it to show g( f(x) ) = x?

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Because I worked it out and got it. Is that what I want to turn in for part 3, my work?

phi
 one year ago
Best ResponseYou've already chosen the best response.1I assume for part 2, you got f( g(x))= x after simplifying?

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ f( g(x) ) = \frac{( 5x3 +3)}{5} = \frac{5x+0}{5} = \frac{5x}{5} = x \]

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0yes. That's my work exactly.

phi
 one year ago
Best ResponseYou've already chosen the best response.1for part 3 g( f(x) ) start with f(x)=(x+3)/5 g(x)= 5x3 g(f(x)) means replace x in 5x3 with f(x) what do you get ?

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0g(f(x))=5(x+3/5)3 Then the 3's will cancel each other out, and so will the 5's, to get g(f(x))=x.

phi
 one year ago
Best ResponseYou've already chosen the best response.1you have to remember order of operations. \[ g(f(x)) = 5 \cdot \frac{(x+3)}{5} 3 \] multiply before add/subtract

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0So then it will x+3/1 or 0? And then after that, the 3's will still cancel out, right?

phi
 one year ago
Best ResponseYou've already chosen the best response.1the 5/5 becomes 1 and you get \[ g(f(x)) = 5 \cdot \frac{(x+3)}{5} 3 \\ = 1\cdot (x+3) 3 \\=\ (x+3)3 \\ =x+33 \\=x\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1just like \[ \frac{15}{5} = \frac{5 \cdot 3 }{5} = \frac{5}{5} \cdot 3 = 1 \cdot 3 = 3\]

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0ok, that makes sense.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0So for part 2, I'm showing for for f(x), and for part 3, showing work for g(x)? Then graphing? And I'm confused how I should graph this

phi
 one year ago
Best ResponseYou've already chosen the best response.1Include a table of values for each function. Include 5 values for each function. that means they want a table of x y values where y is f(x) or g(x) depending on which function you are doing.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0ok, so for x I could use something like 0, 1, 2, 3, 1 and for y 3, 2, 7, 12, 8? (i might not use those numbers, I just chose them randomly)

phi
 one year ago
Best ResponseYou've already chosen the best response.1Start with the first function f(x) f(x)=(x+3)/5 I would pick small negative and positive numbers for x to get integer answers for f(x) (i.e. y) for example if you start at x= 8, and make x go up by 5 , you will get nice numbers for f(x)

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0By the way, any suggestions for an online graph?

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0Okay, I'll download it too.

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0So, graph 5 points for each?

phi
 one year ago
Best ResponseYou've already chosen the best response.1First write down the table x  f(x)  8  1 3  0 etc and for g(x) you can pick x= 2 to +2 by 1 x  g(x)  2  13 1  8 etc

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you use geogebra you type in f(x)= (x+3)/5 and it will plot the line

horsegirl27
 one year ago
Best ResponseYou've already chosen the best response.0I have one more question, want me to make a new thread?
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