Question

Determine the input that would give an output value of 2/3

Answer 1

Answer:

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

Answer 2

So to get the output value 2/3 we will input x = 19

What is a function?

A mathematical relationship from a set of inputs to a set of outputs is called a function.

What are equations?

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

How to find the input that would give an output value of 2/3 ?

• The function used here is f(x) = $-\frac{x}{3} + 7$

Clearly, all the values of x and f(x) are satisfying it.

Now, the output is given as 2/3.

So, we can write,

$\frac{2}{3} = -\frac{x}{3} + 7$

⇒  $\frac{2}{3}-7 = -\frac{x}{3}$   ( changing the side of 7)

⇒ $-\frac{19}{3} = - \frac{x}{3}$

⇒ x = 19

So to get the output value 2/3 we will input x = 19

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