F(x)=-1/3x+7 determine the input that would give an output value of 2/3. 2/3= -1/3x+7 -19/3=-1/3x x=

x = 19

Step-by-step explanation:

To solve for x, set f(x) equal to the output value, hence

- x + 7 =

Multiply all terms by 3 to eliminate the fractions

- x + 21 = 2 ( subtract 21 from both sides )

- x = - 19 ( multiply both sides by - 1 )

x = 19

1/6 is the answer

Step-by-step explanation: I have done this befor.

The correct answer is (19).

Step-by-step explanation:

x = 19

Step-by-step explanation:

Question: find x such that f(x) = 2/3

Given f(x) = (-1/3) x + 7

equate the value of f(x) to be 2/3

hence,

(2/3) = (-1/3)x + 7 (multiply both sides by 3)

(3) (2/3)  = (3) (-1/3)x + (3) 7

2 = -x + 21

x = 21 - 2

x = 19

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Hey there!

In order to find your given output value, all you need to do is plug it in for f(x) and solve for x in the equation. Whatever you get for x will be the input value that corresponds with that output value. After that, you can plug in that input value for x and solve for f(x) and, if it's the same, then the input value is correct. 

For example (with an output value of 10):

f(x) = x + 7 (plug in output)
10 = x + 7 (subtract 7 from both sides)
3 = x (input value)

f(x) = x + 7 (plug in input)
f(x) = 3 + 7 (simplify)
f(x) = 10 (output value)

Just plug in whatever output you were given where I put 10 and solve. 

Hope this helped you out! :-)

Ur output value is f(x)so to do this problem u need to sub in 2/3 for f(x) and solve for the input value which is x

f(x) = -1/3x + 7
2/3 = -1/3x + 7 ...multiply everything by 3
2 = -x + 21
2 - 21 = - x
- 19 = -x
19 = x