SOLUTION: Let h and g be two functions defined by h(x)=(x-3)(x+5) g(x)=-2x+1 for any real number x . Find what h/g(-6)is,AND then find all values that are NOT in the domain of h/g

Algebra ->  Rational-functions -> SOLUTION: Let h and g be two functions defined by h(x)=(x-3)(x+5) g(x)=-2x+1 for any real number x . Find what h/g(-6)is,AND then find all values that are NOT in the domain of h/g       Log On


   

Question 452591: Let h and g be two functions defined by
h(x)=(x-3)(x+5)
g(x)=-2x+1
for any real number x .
Find what h/g(-6)is,AND then find all values that are NOT in the domain of h/g
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=%28x-3%29%28x%2B5%29

g%28x%29=-2x%2B1+

for any real number x, find what h%2Fg%28-6%29

%28h%2Fg%29%28-6%29=%28%28x-3%29%28x%2B5%29%29%2F%28-2x%2B1%29

%28h%2Fg%29%28-6%29=%28%28-6-3%29%28-6%2B5%29%29%2F%28-2%28-6%29%2B1%29

%28h%2Fg%29%28-6%29=%28%28-9%29%28-1%29%29%2F%2812%2B1%29

%28h%2Fg%29%28-6%29=9%2F13

find all values that are NOT in the domain of h/g

%28h%2Fg%29%28x%29=%28%28x-3%29%28x%2B5%29%29%2F%28-2x%2B1%29.....denominator cannot be equal to zero, so

-2x%2B1=0 for 1%2F2=x...->...x=1%2F2 is NOT in the domain of h%2Fg

+graph%28500%2C+500%2C+-10%2C10%2C+-10%2C+10%2C+%28x%5E2%2B2x-15%29%2F%28-2x%2B1%29%29+