SOLUTION: Let the function g be defined by: g(x)=2x+1. If 1/3(g)(x^2)=1, what could be the value of x? A. 0 B. 1 C. 2 D. 3

Algebra ->  Finance -> SOLUTION: Let the function g be defined by: g(x)=2x+1. If 1/3(g)(x^2)=1, what could be the value of x? A. 0 B. 1 C. 2 D. 3      Log On


   

Question 1088762: Let the function g be defined by: g(x)=2x+1. If 1/3(g)(x^2)=1, what could be the value of x?
A. 0
B. 1
C. 2
D. 3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=2x%2B1
If %281%2F3%29%28g%28x%5E2%29%29=1, we have
%281%2F3%29%282x%5E2%2B1%29=1....both sides multiply by 3
2x%5E2%2B1=3
2x%5E2%2B1-3=0
2x%5E2-2=0
2%28x%5E2-1%29=0
2%28x-1%29%28x%2B1%29=0
solutions:
x=1 or+x=-1
and, your answer is B. 1