SOLUTION: Find the range and domain of the rational function f(x)=x+3\x-4

Question 1076277: Find the range and domain of the rational function f(x)=x+3\x-4
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
f(x)=(x+3)/(x-4)

Vertical asymptote at x=4. Branches of f go in different directions around this asymptote. Notice that for x extreme to left or to right, f approaches but never reaches 1.

Domain: Only EXCLUDED value is x=4.
Range: The only excluded value for f is at y=1.
RELATED QUESTIONS
Find the translation of the function and domain and range. f(x)=3^x+4... (answered by MathLover1)

FIND THE DOMAIN AND RANGE OF THE FUNCTION F(X)= (X-3)SQUARED... (answered by stanbon,tutorcecilia)

Find the domain and range of the function... (answered by lwsshak3)

Find the domain and the range of the function:... (answered by edjones)

Find the domain and range of this function f(x)=1/squareroot of (x-4) (answered by Fombitz,rapaljer)

f(x)=2x+4 find the inverse function, domain and range of inverse function (answered by stanbon)

Find the domain, range, intercepts, and asymptote of the function:... (answered by lwsshak3)

find the domain and range of f(x)=2x+3 (answered by crabbyoldgamer)

what is the domain and range of the function.... f(x)= 4/x +... (answered by lwsshak3)