Find F(X) and G(X) So That the Function Can Be Described as Y = F(G(X)). Y = 9/sqrt 5x+5

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Question 1106851: Find f(x) and thou(x) so that the function can exist described equally y = f(g(ten)).
y = 3 divided by square root of quantity 3 x plus four.
y= 3/sqrt(3x+four)
Answer by greenestamps(10294) (Show Source):

You can put this solution on YOUR website!

Think of how you would evaluate the expression for a item value of ten:
(1) multiply by 3
(two) add iv
(3) take the square root
(iv) divide iii by the result

To write the whole expression as a composition of ii functions, you tin break the steps into two parts any way you want.

solution #i:
g(10) = multiply by 3 and add 4;
f(ten) = take the square root and divide 3 by the result
answer #1: g(x) = 3x+4; f(x) = 3/sqrt(10)

solution #2:
thousand(x) = multiply by 3, add together 4, and take the square root
f(10) = divided 3 by the result
answer #two: g(ten) = sqrt(3x+4); f(x) = 3/x

solution #three:
thou(x) = multiply by 3
f(x) = add 4, take the square root, and split 3 by the result
respond #3: g(x) = 3x; f(x) = iii/sqrt(10+4)

Solution #four: You could even do something like this, combining all the steps into 1 of the functions -- although I don't see that it would always be useful:
yard(x) = 3/sqrt(3x+4); f(10) = x

doylehasheivates38.blogspot.com

Source: https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1106851.html

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