Question
1. For the given function f and g find the folowing and state the domain of each result
f(x)=2x+1;g(x)=7x-1
a) (f-g)(x)=_____
(f/g)(X)=_____
f(x)=2x+1;g(x)=7x-1
a) (f-g)(x)=_____
(f/g)(X)=_____
Answers
Henry
(f-g)(x)= (2x+1)-(7x-1)
= 2x+1-7x+1 = -5x+2.
Domain: All real values of x.
(f/g)(x) = (2x+1)/7x-1)
7x-1 = 0
7x = 1
X = 1/7
When X = 1/7, the denominator = 0 which
is forbidden. Therefore, the domain is
all real values of X except I/7.
1/7 <X< 1/7.
= 2x+1-7x+1 = -5x+2.
Domain: All real values of x.
(f/g)(x) = (2x+1)/7x-1)
7x-1 = 0
7x = 1
X = 1/7
When X = 1/7, the denominator = 0 which
is forbidden. Therefore, the domain is
all real values of X except I/7.
1/7 <X< 1/7.