Question #346048

f(×)=6/ײ3×-10




a. X=-2



b. x= 0



c. x=5

1
Expert's answer
2022-05-30T15:10:38-0400
f(x)=6x23x10f(x)=\dfrac{6}{x^2-3x-10}

x23x100x^2-3x-10\not=0

(x+2)(x5)0(x+2)(x-5)\not=0

x2,x5x\not=-2, x\not=5

Domain: (,2)(2,5)(5,)(-\infin, -2)\cap (-2, 5)\cap(5, \infin)

a.


f(2)=6(2)23(2)10,undefinedf(-2)=\dfrac{6}{(-2)^2-3(-2)-10} , undefined

f(2)f(-2) is undefined.


b.


f(0)=6(0)23(0)10=35f(0)=\dfrac{6}{(0)^2-3(0)-10}=-\dfrac{3}{5}

f(0)=35f(0)=-\dfrac{3}{5} .


c.


f(5)=6(5)23(5)10,undefinedf(5)=\dfrac{6}{(5)^2-3(5)-10} , undefined

f(5)f(5) is undefined.




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