Question

For which of the following, is g(x)
1
g(x)=
(x2 + 5x – 6)(x2 – 3x – 28
defined ?
a)
x = 7
b)
x = 6
c)
X = 1
d) x = -4

Answer 1

Step-by-step explanation:

option B. x=6

substitute 7 in x place

g(x)=1/((7)*+5(7)-6).((7)*-3(7)-28)

g(x)=1/(49+35-6).(49-21-28)

g(x)=1/78(0)

g(x)=not defined

substitute 6 in x place

g(x)=1/((6)*+5(6)-6).((6)*-3(6)-28)

g(x)=1/(36+30-6).(36-18-28)

g(x)=1/(60).(-10)

g(x)=1/-600

g(x)= -1/600

substitute 1 in x place

=1/(1+5-6).(1-3-28)

=1/(0).(-30)

=not defined

substitute -4 in x place

=1/(16-20-6).(16+12-28)

=1/(-10).(0)

=not defined

So,6 is defined in g(x)

Hope this helps you