Question

Given f(x) = 2x and f(x) = -10, find x. (What was the input?)13. Given f(x) = 2x and f(x) =-10, find x. (What was the input?)

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here, we need to find the input that will result in f(x) = -10

So, let's equate those two ~

`\qquad \sf  \dashrightarrow \: 2x = - 10`

`\qquad \sf  \dashrightarrow \: x = - 10 ÷2`

`\qquad \sf  \dashrightarrow \: x = - 5`

So, the input as x = -5 to get the given results ~

Answer 2

x = -5

Explanation:

We are told that:

`f(x) = 2x`, and that for a certain input value of
`x`,
`f(x) = -10`.

Since
`2x` and -10 are both equal to
`f(x)`, we can say
`2x` and -10 are equal.

Therefore, we can equate the two expressions and solve the resulting equation for
`x`:

`2x = -10`

⇒
`(2)/(2)x = (-10)/(2)` [Dividing both sides of equation by 2]

⇒
`x = \bf -5`

Therefore. when
`f(x) = -10`, the input x was -5.