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anonymous
 one year ago
Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable. Show each step of your solution process.
anonymous
 one year ago
Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable. Show each step of your solution process.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437259693464:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0first combine like terms 6_2 and then take square both sides to cancel out square root

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0you can write square root as 1/2 root \[\huge\rm \sqrt{x} = x^\frac{ 1 }{ 2 }\] when you take square \[\huge\rm \sqrt{x} = (x^\frac{ 1 }{ 2 })^2\] both 2 cancel each othr out and then you x is left that's how you can take square to cancel ot square root :)

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.1\[\sqrt{x6+2}=6\] The first step is alwas... ALWAYS trying to remove the square root since it is quite bothersome to deal with in algebra level. So, we will square both sides: \[(\sqrt{x6+2})^2=6^2\] That'll cancel the square root and give us the following: \[x6+2=6^2\] \[x6+2=36\] And that is much simpler to solve, is it not?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you both!! can you help me with one more??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work.

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.1That is what we call a "composite function", what you do is replace the function on all the x's of the other function, so if you have: \[f:f(x)=4x^2+x1\] \[g:g(x)=x^22\] Then, in order for the transformation to occurr: \[g(x),f(x) \rightarrow (g,f): g(f(x)) \] We will have an equivalent of this: \[(g,f):g(f(x))=(f(x))^22\] So, therefore, g(f(x)) will be composed of: \[g(f(x))=(4x^2+x+1)^22\]
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