SOLUTION: For f(x)=15/x^2-1 and g(x) = SQUARE ROOT x+4, find (g degree sign f)(2) A. square root of 6 B. 5 C. 5 square root of 6 D. 3

Algebra ->  Equations -> SOLUTION: For f(x)=15/x^2-1 and g(x) = SQUARE ROOT x+4, find (g degree sign f)(2) A. square root of 6 B. 5 C. 5 square root of 6 D. 3       Log On


   

Question 231862: For f(x)=15/x^2-1 and g(x) = SQUARE ROOT x+4, find (g degree sign f)(2)
A. square root of 6
B. 5
C. 5 square root of 6
D. 3

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=15%2F%28x%5E2-1%29
f%282%29=15%2F%28%282%29%5E2-1%29+=+15%2F%284-1%29+=+15%2F3+=+5

g%28x%29+=+sqrt%28x%2B4%29
The g function, according to the rule above, will take its input, add four and then find the square root. It will do this to any input it is given. So if g is given f(2) as input, g will add four and find the square root:
g%28f%282%29%29+=+g%285%29+=+sqrt%28%285%29+%2B+4%29+=+sqrt%289%29+=+3
So the answer is D.