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anonymous
 one year ago
Use the functions f(x) = 5x − 12 and g(x) = 11x + 2 to complete the function operations listed below.
Part A: Find (f + g)(x). Show your work. (3 points)
Part B: Find (f ⋅ g)(x). Show your work. (3 points)
Part C: Find f[g(x)]. Show your work. (4 points)
anonymous
 one year ago
Use the functions f(x) = 5x − 12 and g(x) = 11x + 2 to complete the function operations listed below. Part A: Find (f + g)(x). Show your work. (3 points) Part B: Find (f ⋅ g)(x). Show your work. (3 points) Part C: Find f[g(x)]. Show your work. (4 points)

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Keigh2015
 one year ago
Best ResponseYou've already chosen the best response.0do you have an idea for it yet?

phi
 one year ago
Best ResponseYou've already chosen the best response.2(f + g)(x) that is short of adding f(x) + g(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so add 5x − 12 And 11x + 2

phi
 one year ago
Best ResponseYou've already chosen the best response.2and f(x)+g(x) is short for: write down the "formula" for f(x) and add it to the "formula" for g(x) yes

phi
 one year ago
Best ResponseYou've already chosen the best response.2B is the same idea except you multiply (use FOIL to multiply it out)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let me add the first one real quick hold on

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea i think so, ill try could you check my work?

phi
 one year ago
Best ResponseYou've already chosen the best response.2for part C f[g(x)] means "in the formula for f(x), replace "x" with g(x)"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for part B i got 55x2−122x−24 i think thats wrong

phi
 one year ago
Best ResponseYou've already chosen the best response.2too bad, I got the same thing.

phi
 one year ago
Best ResponseYou've already chosen the best response.2yes, you did it correctlly

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ill just put that as the answer, because i honestly have to clue.

phi
 one year ago
Best ResponseYou've already chosen the best response.2you can check that it is correct. pick a number for x, such as 1 then f(x) = 5x − 12 at x=1 is 512= 7 and g(x) = 11x + 2 at x=2 is 11+2 = 13 and 7*13= 91 now use your formula 55x^2−122x−24 at x=1... you get 55 122 24 = 91 same number. that does not prove it, but if you did that for a few values, and it always works, it probably is correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for part c, questions like that confuse me cause i never learned the foil method.

Keigh2015
 one year ago
Best ResponseYou've already chosen the best response.0that one confuses me too

phi
 one year ago
Best ResponseYou've already chosen the best response.2but if you FOIL it: ( 5x − 12) (11x+2) F first: 5x*11x = 55x^2 O outer: 5x*2 = 10x I inner: 12*11x = 132x L last: 12*2 = 24 combine the two middle terms 10x132x = 122 x and the answer is 55x^2 122x 24

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 i need help with part c

phi
 one year ago
Best ResponseYou've already chosen the best response.2part C f[g(x)] first write down f(x)

phi
 one year ago
Best ResponseYou've already chosen the best response.2like this f(x)=5x − 12 we want f[g(x)] that means erase the x and replace it with g(x) erase and replace: f( g(x) ) = 5g(x) 12

phi
 one year ago
Best ResponseYou've already chosen the best response.2then replace g(x) with g(x)'s formula (11x + 2) be sure to use the parens

phi
 one year ago
Best ResponseYou've already chosen the best response.2can you replace g(x) in 5g(x) 12 with (11x+2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f( 11x + 2) = 5(11x + 2) 12

phi
 one year ago
Best ResponseYou've already chosen the best response.2yes, but we usually leave the left side in "short form" f(g(x)) and only expand the right side but yes that looks good. you can distribute the 5 (multiply 5 times each thing inside the parens) and simplify the right side a little.

phi
 one year ago
Best ResponseYou've already chosen the best response.2the right side is 5(11x + 2) 12 do 5 * 11x + 5*2 to distribute the 5 55x + 10 12 now simplify 1012

phi
 one year ago
Best ResponseYou've already chosen the best response.2yes. so part C is f[g(x)]= 55x2
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