SOLUTION: For {{{ f(x)= x-1 / (2x-4) }}} and {{{ g(x)= sqrt ( 5-x ) }}} find the following: A. (fg)(4) B. (f of g)(1)

Algebra ->  Trigonometry-basics -> SOLUTION: For {{{ f(x)= x-1 / (2x-4) }}} and {{{ g(x)= sqrt ( 5-x ) }}} find the following: A. (fg)(4) B. (f of g)(1)       Log On


   

Question 838121: For +f%28x%29=+x-1+%2F+%282x-4%29+ and +g%28x%29=+sqrt+%28+5-x+%29+ find the following:
A. (fg)(4)
B. (f of g)(1)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=+x-1+%2F+%282x-4%29+ and +g%28x%29=+sqrt+%28+5-x+%29+
A) I assume you mean f(4)*g(4).
f%284%29=4-1%2F%282%284%29-4%29=4-1%2F%288-4%29=4-1%2F4=15%2F4
g%284%29=sqrt%285-4%29=sqrt%281%29=1
f%284%29%2Ag%284%29=15%2F4
B) g%281%29=sqrt%285-1%29=sqrt%284%29=2
f%28g%281%29%29=f%282%29=2-1%2F%282%282%29-4%29=2-1%2F0
f(g(1)) is undefined.