Let fx7x263x216 a Write without regard to ordering all the x

Let f(x)=(7x^263)/(x^2+16)

(a) Write without regard to ordering all the x-intercepts and y-intercepts of f(x).
(Write only numbers separated by a semicolon, i.e. 1;1;2
and not x = 1, x = 1, y = 2.)

Solution

f(x)=(7x^263)/(x^2+16)

x intercept : plug denomiator =0

7x^2 -63 =0

7(x^2 - 9)=0

x^2 = 9 ---> x= +/-3

Y intercepts:

plug x=0

f(0) = -63/16

So, x= -3, 3, y = -63/16