Question

Which of the following is not an ordered pair from the function f(x) = 5x - 6?

A
(3, 9)

B
(1, -1)

C
(5, 19)

D
(4, 10)

Answer 1

We have been given a function
`f(x) = 5x - 6`. We are asked to choose the point from given choices, which is not a solution of given function.

Let us check each given point one by one.

A. (3,9)

`f(x) = 5x - 6`

`9= 5(3)-6`

`9=15-6`

`9=9`

Since both sides of function are equal, therefore, point (3,9) is the solution of our given function.

B.
`(1,-1)`

`f(x) = 5x - 6`

`-1= 5(1)-6`

`-1= 5-6`

`-1=-1`

Since both sides of function are equal, therefore, point
`(1,-1)` is the solution of our given function.

C.
`(5,19)`

`f(x) = 5x - 6`

`19= 5(5)-6`

`19= 25-6`

`19=19`

Since both sides of function are equal, therefore, point
`(5,19)` is the solution of our given function.

D.
`(4,10)`

`f(x) = 5x - 6`

`10= 5(4)-6`

`10= 20-6`

`10\\eq 14`

Since both sides of function are not equal, therefore, point
`(4,10)` is not a solution of our given function and option D is the correct choice.