rochaebelin357
Answered

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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?)

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

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

So, let's equate those two ~

[tex]\qquad \sf  \dashrightarrow \: 2x = - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 10 ÷2 [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 5[/tex]

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

saadatk

Answer:

x = -5

Step-by-step explanation:

We are told that:

[tex]f(x) = 2x[/tex], and that for a certain input value of [tex]x[/tex],  [tex]f(x) = -10[/tex].

Since [tex]2x[/tex] and -10 are both equal to [tex]f(x)[/tex], we can say [tex]2x[/tex]  and -10 are equal.

Therefore, we can equate the two expressions and solve the resulting equation for [tex]x[/tex]:

[tex]2x = -10[/tex]

⇒ [tex]\frac{2}{2}x = \frac{-10}{2}[/tex]          [Dividing both sides of equation by 2]

⇒ [tex]x = \bf -5[/tex]

Therefore. when [tex]f(x) = -10[/tex], the input x was -5.

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