If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

a) (ab)(x)
b) (a/b)(x)
c) (a-b)(x)
d) (a+b)(x)

answer !

Option A (ab)(x) will form the quadratic equation.

Step-by-step explanation:

We have been given that a(x) and b(x) are linear function so we can assume

a(x)= cx+d  and b(x) = ex+f  substituting these values in the given options

In case A let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

after simplification we will get

This is a quadratic equation because the degree of this equation is 2.

In case B let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

which is itself a simplified from and degree in this case is 1.

Hence, this is not the quadratic equation.

In case C let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

after simplification we will get

This is again not a quadratic equation since, degree in this case is 1.

In case D let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

after simplification we will get

This is again not a quadratic equation since, degree in this case is 1.

Therefore, Option A (ab)(x) will form the quadratic equation.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: