SOLUTION: g(x)=log3(x) what is the domain of g(x); what is the range of g(x); find an intercept of f(x): graph the equation:

Question 424904: g(x)=log3(x)
what is the domain of g(x);
what is the range of g(x);
find an intercept of f(x):
graph the equation:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
g(x)=log3(x)
what is the domain of g(x);
what is the range of g(x);
find an intercept of f(x):
graph the equation:
..
Domain: (0,∞)
Range:(-∞,∞)
y-intercept: none
x-intercept: 1
Asymptote: y-axis
I'm sorry, but our program will not graph the log function. The best I can do is graph the inverse of the log function,3^x, as I did below,and describe what the log function looks like on this same graph. The log function is a mirror image of its inverse. You can plot it by swapping the x and y coordinates like any other inverse functions and use the knowledge that the x-intercept is at 1, and the asymptote is the y-axis. The x-intercept on the graph shows that the logarithm of 1 is always equal to zero. The graph also shows that the x in log x must always be greater than zero. (x>0)

RELATED QUESTIONS
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 (f-g)(x). What is the domain of f/g f(x)=2x-5... (answered by jim_thompson5910)

========================================================================================== (answered by MathLover1)

3.21 Find f+g, f-g and f/g. Determine the domain for each function. f(x)=4x+8,... (answered by fractalier)

3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the... (answered by nerdybill)

What is the domain of... (answered by Fombitz)

What is the domain of g(x)? (answered by Alan3354)

Find (fg)(x). What is the domain of f/g f(x)=2x-5,... (answered by nerdybill)

The graph of f(x) = -1/2 (1/6)exponent is x-7 +9 is shifted left 7 units,... (answered by MathLover1)