SOLUTION: Find the indicated intercept(s) of the graph of the function. y-intercept of {{{ f(x)=(23)/((x+20)(x^2-6)) }}} a. (0,23) b. (0,{{{(23/120)}}}) c. none d. (0,{{{

Algebra ->  Graphs -> SOLUTION: Find the indicated intercept(s) of the graph of the function. y-intercept of {{{ f(x)=(23)/((x+20)(x^2-6)) }}} a. (0,23) b. (0,{{{(23/120)}}}) c. none d. (0,{{{      Log On


   

Question 471815: Find the indicated intercept(s) of the graph of the function.
y-intercept of ++f%28x%29=%2823%29%2F%28%28x%2B20%29%28x%5E2-6%29%29++


a. (0,23)
b. (0,%2823%2F120%29)
c. none
d. (0,-%2823%2F120%29)
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
To find the intercept of either letter, substitute 0 for the
OTHER letter, and solve for that letter:

So to find the y-intercept, substitute 0 for the OTHER letter x

++f%28x%29=%2823%29%2F%28%28x%2B20%29%28x%5E2-6%29%29++

++f%280%29=%2823%29%2F%28%280%2B20%29%280%5E2-6%29%29++

++f%280%29=%2823%29%2F%28%2820%29%28-6%29%29++

++f%280%29=%2823%29%2F%28-120%29++

++f%280%29=-23%2F120++

So make an ordered pair whose coordinates consist
of what you substituted for the OTHER letter x, which was 0,
and what you got for the letter of the intercept desired, y
when you substituted 0 for x.

So the y intercept is (0,-23%2F120).

Edwin