SOLUTION: what is the domain of the composite function f* g if f(x) = 28/x and g(x) = -8/(x - 7).

Algebra ->  Functions -> SOLUTION: what is the domain of the composite function f* g if f(x) = 28/x and g(x) = -8/(x - 7).      Log On


   

Question 1088794: what is the domain of the composite function f* g if f(x) = 28/x and g(x) = -8/(x - 7).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%2A+g if f%28x%29+=+28%2Fx and g%28x%29+=+-8%2F%28x+-+7%29:
f%2A+g=%2828%2Fx%29%28-8%2F%28x+-+7%29%29
f%2A+g=%28-8%2A28%29%2F%28x%28x+-+7%29%29
domain: will be all real numbers except values of x that make denominator equal to zero
and they are:
x%28x+-+7%29=0
=>x=0 or
=>x=7

so, domain is:{ x element R : x%3C%3E0 and x%3C%3E7 }