SOLUTION: supposed f(x)=-4x+3 and g(x)=1/x+2. evaluated f(g(x)) and g(f(x)) for x. Note any restrictions. show your work. THANK YOU!

Algebra ->  Rational-functions -> SOLUTION: supposed f(x)=-4x+3 and g(x)=1/x+2. evaluated f(g(x)) and g(f(x)) for x. Note any restrictions. show your work. THANK YOU!      Log On


   



Question 163840: supposed f(x)=-4x+3 and g(x)=1/x+2. evaluated f(g(x)) and g(f(x)) for x. Note any restrictions. show your work.
THANK YOU!

Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = -4x + 3 and g(x) = 1/x + 2
f(g(x)) = f(1/x + 2)
= -4*(1/x + 2) + 3
= -4/x - 8 + 3
= -4/x - 5
Restriction for f(g(x)) is x+%3C%3E+0
g(f(x)) = g(-4x + 3)
= 1%2F%28-4x+%2B+3%29+%2B+2
= %281+%2B+2%2A%28-4x+%2B+3%29%29%2F%28-4x+%2B+3%29
= %281+-+8x+%2B+6%29%2F%28-4x+%2B+3%29
= %287+-+8x%29%2F%28-4x+%2B+3%29
Restriction for g(f(x)) is -4x+%2B+3+%3C%3E+0
so it means x+%3C%3E+3%2F4