Question

Функция задана формулой y=-4/x. 1)Найдите значение функции , если значение аргумента равно -1;4. 2)Найдите значение аргумента , если значение функции равно -4;2.

Answer 1

$y(x) = - \frac{4}{x} \\ (1) \\ y( - 1) = - \frac{4}{ - 1} = 4 \\ y(4) = - \frac{4}{4} = - 1$
$(2) \\ - \frac{4}{x} = - 4 \\ x = \frac{ - 4}{ - 4} \\ x = 1 \\ \\ - \frac{4}{x} =2 \\ x = \frac{ - 4}{2} \\ x = - 2$

Answer 2

To find the values of the function and the arguments given the formula y = -4/x, we simply need to substitute the given values and solve for the unknowns. Let's go step by step:

1. Find the values of the function (y) for x = -1 and x = 4:

a) For x = -1: y = -4/(-1) = 4

b) For x = 4: y = -4/4 = -1

So, for x = -1, the value of the function is y = 4, and for x = 4, the value of the function is y = -1.

2. Find the values of the argument (x) for y = -4 and y = 2:

a) For y = -4: -4 = -4/x

Now, to solve for x, we can cross-multiply: -4x = -4

Now, divide both sides by -4 to find x: x = 1

b) For y = 2: 2 = -4/x

Again, cross-multiply and solve for x: -4x = 2

Divide both sides by -4 to find x: x = -0.5

So, for y = -4, the value of the argument (x) is 1, and for y = 2, the value of the argument (x) is -0.5.