Expert: Paul Klarreich - 1/15/2010

Question
Let g(x)=(x+3)/(√5x-1)

Find and simplify 3 g(2) + 2[g(1)]^2

Answer
Questioner: Jon
Country: United States
Category: Advanced Math
Private: No
Subject: Algebra Functions
Question: Let g(x)=(x+3)/(√5x-1)

Find and simplify 3 g(2) + 2[g(1)]^2
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To do  g(something):

Write your g(x), as in

g(x) = (x+3)/(√5x-1)

Rewrite g( ), using empty parentheses in place of x.

g( ) = (()+3)/(√5()-1)

Put something into the parentheses everywhere.

g(2) = ((2)+3)/(√5(2)-1)

or

g(1) = ((1)+3)/(√5(1)-1)

Do the arithmetic as indicated.  (Actually you did not indicate it very well, but that is another matter.)

You can finish up.  If you have trouble, send me what you did and I'll see what I can do.