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Adi3
 one year ago
Will Medal!!!
Please help
Suppose f(x) = 3x+1 and g(x) = x^2 +2x.
Find x such that f(g(x)) = 10.
Adi3
 one year ago
Will Medal!!! Please help Suppose f(x) = 3x+1 and g(x) = x^2 +2x. Find x such that f(g(x)) = 10.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Use Wolfram alpha for this

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0wolfram alpha is not correct

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2replace each x value in f(x) with the entire function g(x)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2f(x) = 3x+1 f(g(x)) = 3*g(x) + 1

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0What do you mean by that?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2g(x) = x^2+2x f(g(x)) = 3*g(x) + 1 = 3 * (x^2 + 2x) + 1

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2then they tell you that equals to a value and find x

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0it equals 3x^2 + 6x + 1 right

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2yeah the f(g(x)) does, then they tell you that is equal to 10

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0then how do you solve it after that, that s the part which is the most confusing for me

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2it is a quadratic, to get the solution, you put it in standard form first.. ax^2+bx+c=0

DanJS
 one year ago
Best ResponseYou've already chosen the best response.23x^2 + 6x  9 = 0 3*( x^2 + 2x  3) = 0

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2so, x^2 + 2x 3 = 0 you can always just apply the quadratic formula, but this one looks to factor easy

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0wait from where did x1 come from

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2so, that is true if.. x  1 = 0 OR x + 3 = 0

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2distribute the thing and check , it goes back to the original

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2or simply just plug in the coefficients to the quadratic equation and hit a button to solve for you

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0i did not get the part after this 3x^2 + 6x  9 = 0 3*( x^2 + 2x  3) = 0

Adi3
 one year ago
Best ResponseYou've already chosen the best response.0what did you do after this

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2divide both sides with a 3

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Once you get down to standard form ax^2 + bx + c = 0 solving that expression for x will give you the quadratic formula

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2\[x = \frac{ b \pm \sqrt{b^2  4*a*c} }{ 2a }\]
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