SOLUTION: Given f(x)=sin x, g(x)= 1/x and h(x)=/x/ a) state the euation that represents y=h(g(f(x))) b) Describe what each composition does in order that its applied. c) Sketch the curve

Algebra ->  Rational-functions -> SOLUTION: Given f(x)=sin x, g(x)= 1/x and h(x)=/x/ a) state the euation that represents y=h(g(f(x))) b) Describe what each composition does in order that its applied. c) Sketch the curve      Log On


   



Question 254469: Given f(x)=sin x, g(x)= 1/x and h(x)=/x/
a) state the euation that represents y=h(g(f(x)))
b) Describe what each composition does in order that its applied.
c) Sketch the curve won the interval -2(pi)< or = x

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x)=sin x, g(x)= 1/x and h(x)=/x/
a) state the equation that represents y=h(g(f(x)))
ans:
y = abs%281%2Fsin%28x%29%29
b) Describe what each composition does in order that its applied.
g(f(x)) put the f(x) into the g(x) function to get 1/sin(x)
h(g(f(x))) puts 1/sin(x) into abs to get abs(1/sin(x))
c) Sketch the curve won the interval -2(pi)< or = x
+graph%28+300%2C+200%2C+-2%2Api%2C+2%2Api%2C+-5%2C+5%2C+abs%281%2F%28sin%28x%29%29%29%29+