SOLUTION: Determine the domain and the range of the function g(x)=(4x-4)/(5x-30).

Algebra.Com
Question 347663: Determine the domain and the range of the function g(x)=(4x-4)/(5x-30).
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!



The domain is all x except those that make the denominator zero (shown in blue below).
Domain:(,) U (,)
.
.
.
The range is all values except the asymptote value (shown in green below),


As x becomes infintely large, g(x) becomes,


Range:(,) U (,)
.
.

RELATED QUESTIONS

find the inverse of G(x)= x^3 +4. Determine the domain and... (answered by josgarithmetic)
3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)
Find the vertex, axis or symmetry, domain, range, x and y intercepts, and determine... (answered by Alan3354)
Find the range of function g(x)=3-5x. Given domain { -2, -1, 0, 1, 2... (answered by richard1234)
Without graphing, determine the amplitude, period, domain and range of the function... (answered by Alan3354)
Determine the domain and range of the function. f(x)= sqrt(x+16) , x < 4... (answered by stanbon)
Graph the function g(x) = 4^(x-1) give its domain and range using interval... (answered by stanbon)
Graph the function {{{ g(x)=4^x-3 }}} Give its domain and range using interval... (answered by richard1234)
The graph of the function is given (a) Find g(-4), g(-2), g(0), g(2), and g(4). (b)... (answered by solver91311)