Question 31222: Find the domain, vertical asymptote, and x-intercept of h(x) = log4(x - 3)
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Find the domain, vertical asymptote, and x-intercept of h(x) = log4(x - 3)
You may edit the question. Maybe convert formulae to the same formula
DOMAIN IS PERMESSIBLE VALUES OF X FOR THE FUNCTION H(X) TO BE MEANING FULL
LOG ZERO OR NEGATIVE NUMBER DOES NOT EXIST.HENCE X-3 HAS TO BE POSITIVE.
THAT IS X>3
AS X APPROACHES 3 .......... X-3 TENDS TO ZERO AND LOG OF ZERO TENDS TO MINUS INFINITY.SO VERTICAL ASYMPTOTE IS X=3
X INTERCEPT IS VALUE OF X WHEN H(X)=0
LG(X-3)TO BASE 4 = 0
X-3 =4^0=1
X=4...IS THE X INTERCEPT.
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