SOLUTION: Suppose that the functions g and f are defined as follows. g(x)=x-8, f(x) = (x-3)(x-5) (a) Find (g/f)(1) (b) Find all values that are NOT in the domain of If there is more tha

Algebra ->  Functions -> SOLUTION: Suppose that the functions g and f are defined as follows. g(x)=x-8, f(x) = (x-3)(x-5) (a) Find (g/f)(1) (b) Find all values that are NOT in the domain of If there is more tha      Log On


   

Question 1189771: Suppose that the functions g and f are defined as follows. g(x)=x-8, f(x) = (x-3)(x-5)
(a) Find (g/f)(1)
(b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29=x-8
+f%28x%29+=+%28x-3%29%28x-5%29

(a) Find %28g%2Ff%29%281%29
%28g%2Ff%29%28x%29=%28x-8%29%2F%28%28x-3%29%28x-5%29%29
%28g%2Ff%29%281%29=%281-8%29%2F%28%281-3%29%281-5%29%29
%28g%2Ff%29%281%29=-7%2F%28-2%29%28-4%29%29
%28g%2Ff%29%281%29=-7%2F8%29

(b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas.
values that are NOT in the domain are the values of x that make denominator equal to zero
%28x-3%29%28x-5%29=0=>x=3 and x=5
so, values that are NOT in the domain are: 3,5