SOLUTION: How is this problem set up and solved? "Suppose f(x)=2x+5 and g(x)= (-1/3x)+2. Find each value." 54) f(-2) / g(f(-2)+1)

Algebra ->  Rational-functions -> SOLUTION: How is this problem set up and solved? "Suppose f(x)=2x+5 and g(x)= (-1/3x)+2. Find each value." 54) f(-2) / g(f(-2)+1)      Log On


   

Question 211446This question is from textbook Algebra 2 Prentice Hall Mathematics
: How is this problem set up and solved?
"Suppose f(x)=2x+5 and g(x)= (-1/3x)+2. Find each value."
54) f(-2) / g(f(-2)+1) This question is from textbook Algebra 2 Prentice Hall Mathematics

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If f%28x%29+=+2x%2B5 and g%28x%29+=%28-1%2F3x%29%2B2, find:
f%28-2%29%2Fg%28f%28-2%29%2B1%29
f%28x%29+=+2x%2B5 Substitute x = -2
f%28-2%29+=+2%28-2%29%2B5 Simplify.
f%28-2%29+=+1} Now find:
g%28f%28-2%29%2B1%29+=+g%281%2B1%29 and...
g%282%29+=+%28-1%2F3%282%29%29%2B2
g%281%29+=+%28-1%2F6%29%2B2
g%28-2%29+=+11%2F6 So...
f%28-2%29%2Fg%28-2%29%2B1+=+1%2F%2811%2F6%29=6%2F11