SOLUTION: How to find the domain of f o g and g o f if f(x)=(3x+2)^1/2 and g(x)=x^2+3

SOLUTION: How to find the domain of f o g and g o f if f(x)=(3x+2)^1/2 and g(x)=x^2+3

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Question 752691: How to find the domain of f o g and g o f if f(x)=(3x+2)^1/2 and g(x)=x^2+3
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Form the compositions and judge from those.

f o g:

=

What can the values of x be and what must not be allowed for the values of x?
No restriction for f(g(x)). All real numbers are allowed.

How about g(f(x))?
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