Answer: f(-6) = [tex]-\frac{12}{11}[/tex], f(-4) = [tex]\frac{8}{9}[/tex], f(4) = [tex]-\frac{8}{9}[/tex], f(6) = [tex]\frac{12}{11}[/tex]
Step-by-step explanation:
(-6, f(-6)) is an x,y coordinate. They are asking what the y-value is when you plug in -6 for x.
f(x) = [tex]\frac{2x}{x^{2}-25}[/tex]
f(-6) = [tex]\frac{2(-6)}{(-6)^{2}-25}[/tex]
= [tex]\frac{-12}{36-25}[/tex]
= [tex]-\frac{12}{11}[/tex]
f(-4) = [tex]\frac{2(-4)}{(-4)^{2}-25}[/tex]
= [tex]\frac{-8}{16-25}[/tex]
= [tex]\frac{-8}{-9}[/tex]
= [tex]\frac{8}{9}[/tex]
f(4) = [tex]\frac{2(4)}{(4)^{2}-25}[/tex]
= [tex]\frac{8}{16-25}[/tex]
= [tex]\frac{8}{-9}[/tex]
= [tex]-\frac{8}{9}[/tex]
f(6) = [tex]\frac{2(6)}{(6)^{2}-25}[/tex]
= [tex]\frac{12}{36-25}[/tex]
= [tex]\frac{12}{11}[/tex]
