Question

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

(ab))
O (a - b)^)
O (a + b)(x)

Answer 1

`(ab)(x)`

Explanation:

Data provided in the question

a(x) = 2x - 4

b(x) = x + 2

Now we go through each options

First option

`(ab)(x)=(2x-4)(x+2)`

`=2(x-2)(x+2)`

`=2(x^2-4)`

`=2x^2-8`

Second option

`(a)/(b)(x)=(2x-4)/(x+2)`

Third option

`(a-b)(x)=(2x-4)-(x+2)`

`=2x-4-x-2`

= x - 6

Fourth option

`(a+b)(x)=(2x-4)+(x+2)`

`=2x-4+x+2`

= 3x - 2

As we can see from the above options only option A is correct i.e it only produced a quadric function