# Thread: Y-intercepts of this function

1. ## Y-intercepts of this function

$f(x)=7(x-4)^{\frac{3}{4}} - 3(x-4)^{\frac{7}{4}}$

Do the y-intercepts exist for this function? According to wolframalpha they do, but I don't see how that's possible.

2. Originally Posted by youngb11
$f(x)=7(x-4)^{\frac{3}{4}} - 3(x-4)^{\frac{7}{4}}$

Do the y-intercepts exist for this function? According to wolframalpha they do, but I don't see how that's possible.
what did you enter into wolfram?

3. On the y-axis x co-ordinate is zero. So find f(x).

4. Originally Posted by skeeter
what did you enter into wolfram?
$7 (x - 4)^(3/4) - 3 (x - 4)^(7/4)$

But there are no y-intercepts, right?

5. Originally Posted by sa-ri-ga-ma
On the y-axis x co-ordinate is zero. So find f(x).
But how can you evaluate $(-4)^{\frac{3}{4}}$

6. Originally Posted by youngb11
$7 (x - 4)^(3/4) - 3 (x - 4)^(7/4)$

But there are no y-intercepts, right?