SOLUTION: Find the y-intercept and zero(s) of the following algebraically. y=log↓9[(x+6)/2]

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Question 1106340: Find the y-intercept and zero(s) of the following algebraically.
y=log↓9[(x+6)/2]
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


You can use "log(9,(x+6)/2)" instead of the down arrow to indicate a logarithm base 9.

(1) y-intercept. The y-intercept is the value of the function when x is 0:
log%289%2C%286%2F2%29%29+=+log%289%2C%283%29%29+=+0.5

(2) zero.
log%289%2C%28%28x%2B6%29%2F2%29%29+=+0
%28x%2B6%29%2F2+=+9%5E0+=+1
x%2B6+=+2
x+=+-4