SOLUTION: Let f(x)=(2x^2)/(x^2-1) and g(x)=e^(x^2-4). Solve for x the equation g(x)=16. Find f(g(x)). Simplify your answer. Describe the domains of f(x) and g(x).

Question 1159812: Let f(x)=(2x^2)/(x^2-1) and g(x)=e^(x^2-4).
Solve for x the equation g(x)=16.
Find f(g(x)). Simplify your answer.
Describe the domains of f(x) and g(x).

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solve for the equation .

.......take natural log of both sides

.........

Find . Simplify your answer.

Describe the domains of and .

the domain of

domain will be all real numbers except values of that make denominator equal to zero, so exclude those
->->=> and

domain is:
{ element : and }

the domain of

(all real numbers)

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