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anonymous
 one year ago
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:
f(x) = 6x + 12
g(x) = x − 8
−96
0
24
48
anonymous
 one year ago
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below: f(x) = 6x + 12 g(x) = x − 8 −96 0 24 48

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hey William :)\[\large\rm \color{orangered}{f(x)=6x+12},\qquad\color{royalblue}{g(x)=x8}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hmm so we need to solve this:\[\large\rm \color{orangered}{f\left[\color{royalblue}{g(6)}\right]}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1We want to work from the inside and move outward. So let's deal with the blue first. What is the value of the function g, when 6 is plugged in for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you say to turn it into g(x)=68?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Good, yes.\[\large\rm g(x)=x8,\qquad g(6)=68\]Looks like we end up with 2, ya?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1That simplifies down the blue inner part for us. \[\large\rm \color{orangered}{f\left[\color{royalblue}{g(6)}\right]}=\color{orangered}{f\left[\color{royalblue}{2}\right]}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So now all we need to do is simply plug 2 into our f function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im having trouble someone talk me through this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it f(x)=6(2) +12

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes now evaluate 6(2) + 12 and you're done

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmm what would you get for say \(\bf {\color{brown}{ g(6)}}?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.00? how.. did you get 0 though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0anyhow \(\bf g(x)=x8\qquad g({\color{brown}{ 6}})={\color{brown}{ 6}}8\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438904530281:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmm ok... wondering where the 2 came from

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1@jdoe0001 the 2 is from g(6) = 68 = 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm maybe I missed something. lemme recheck

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well, then \(\bf f(x)=6x+12\qquad f({\color{brown}{ g(6)}})=6[{\color{brown}{ g(6)}}]+12 \\ \quad \\ {\color{brown}{ g(6)}}=2\qquad then\\\ \quad \\ f({\color{brown}{ g(6)}})=6[{\color{brown}{ g(6)}}]+12\implies f({\color{brown}{ 2}})=6[{\color{brown}{ 2}}]+12\to 0\)
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