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anonymous
 one year ago
Please help :)
Express the following function, F(x), as a composition of two functions, f and g. f(g(x)).
F(x)= (sqrt3x4)
Part 1: Find g(x) by identifying the function you are taking the square root of.
Part 2: Find f(x) by identifying what you are doing to the function you found in part 1. What function is f(X)?
Part 3: Verify that f(g(x))=f(x)
f(g(x))=(sqrt3x4)
anonymous
 one year ago
Please help :) Express the following function, F(x), as a composition of two functions, f and g. f(g(x)). F(x)= (sqrt3x4) Part 1: Find g(x) by identifying the function you are taking the square root of. Part 2: Find f(x) by identifying what you are doing to the function you found in part 1. What function is f(X)? Part 3: Verify that f(g(x))=f(x) f(g(x))=(sqrt3x4)

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0ok do you know what composition is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep! but i'm a little confused especially on verification

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0suppose we have the function \(f(x) = \sqrt{x}\) Then \(f(4) = \sqrt{4}=2\) and \(f(25) = \sqrt{25} = 5\) and \(f(3) = \sqrt{3}\) and \(f(2x)=\sqrt{2x}\)

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0what do we need \(g(x) \) to be so that we have \(f(g(x)) = \sqrt{3x4}\)?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0we are letting \(f(x) = \sqrt{x}\).

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0hint: \(f(\color{blue}{g(x)})= \sqrt{\color{blue}{3x4}}\)

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0you are just saying the same thing over and over...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i wasn't paying attention

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0ok, so do you see why we choose \(f(x) = \sqrt{x}\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah i get that now haha

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0the last part makes no sense. It is not true that \(f(g(x))= f(x)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it then says f(gx)) = (sqrt3x4) though so is it still totally wrong
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