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anonymous
 one year ago
Let F(x)= 4 + 5x and g(x) = 2x1. Find f(g(x)) and g(f(x))
f(g(x))
anonymous
 one year ago
Let F(x)= 4 + 5x and g(x) = 2x1. Find f(g(x)) and g(f(x)) f(g(x))

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Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2f(g(x)) means you plug in the function g(x) wherever there is an x in f(x) so we have \[f(g(x)) = 4+(2x1)\] now evaluate

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[f(g(x)) = 4+5(2x1)\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Similarly with g(f(x)) you plug in f(x) in function g(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[g(f(x))=2(4+5x)1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Astrophysics right?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes but we should have left @nabiladh do that on their own to see if they understood the problem :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes right,sorry if i done wrong i would delete it

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Nope, what is 2*4?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yeah now keep simplifying

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.22(4+5x)1 = 8+10x1 = 10x+7

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so f(g(x)) equals 10x+7?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2No...that's g(f(x))

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ok I think there's a lot of confusion because both were done at the same time so f(g(x)) is \[f(g(x)) = 4+5(2x1) = 4+10x5 = 10x1\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Then g(f(x)) is \[g(f(x)) = 2(4+5x)1 = 8+10x1 = 10x+7\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Astrophysics i see now thanks confusing but i got it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(g(x) = 4 + 5(2x1) = 4 + 10x  5 = 10x  1. g(f(x))= 2(4+5x)  1 = 8+10x1 = 10x+7
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