Find the y-intercepts for the function given by:
f(x)= 4/(x+5)-1/(x-4)/2/(x-3)+3/(x+2)
Math check - Damon, Sunday, October 12, 2008 at 5:56pm
The y axis intercepts are the values of the function when x = 0
4/5 - [(1/-4)] / [(2/-3)] + 3/2
Math check - shawn, Sunday, October 12, 2008 at 6:00pm
Is it 0,63/50?
4/5-3/8+3/2
How did you get 50 in the denominator?
Check my thinking.
Okay I tried it again. I came up with 0,12/5 is that right?
I tried it again I think it is 0,6/5 is that right?
No. You need a tutor in basic math, and the sooner, the better. Right now, you are in algebraic fractions, and you have great difficulty in handling plain fractions. You need to master that quickly, before your tests.
Get a tutor now.
To find the y-intercepts for the given function, we need to substitute x = 0 into the function.
The given function is:
f(x) = 4/(x+5) - 1/(x-4) / 2/(x-3) + 3/(x+2)
To find the y-intercept, we substitute x = 0 into the function:
f(0) = 4/(0+5) - 1/(0-4) / 2/(0-3) + 3/(0+2)
Simplifying the expression, we get:
f(0) = 4/5 - 1/(-4) / 2/(-3) + 3/2
To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. So, we can rewrite the expression as:
f(0) = 4/5 - 1/(-4) * (-3/2) + 3/2
Now, we can simplify each term:
f(0) = 4/5 + 3/8 + 3/2
To add fractions, we need a common denominator. In this case, we can use 40 as the common denominator. So, we convert each fraction:
f(0) = (4/5)*(8/8) + (3/8)*(5/5) + (3/2)*(20/20)
Now, we can add the fractions with the same denominator:
f(0) = 32/40 + 15/40 + 60/40
Combining the fractions, we get:
f(0) = (32 + 15 + 60) / 40
Finally, we simplify the expression:
f(0) = 107 / 40
So, the y-intercept for the given function is (0, 107/40).