What is the inverse of the function f(x) = x + 2?

Mathematics

1 answer:

nadya68 [22]2 years ago

4 0

Answer: $h(x)=x-2$

Step-by-step explanation:

To find the inverse of the function $f(x) = x + 2$ , the first step is to replace f(x) with "y":

$f(x) =y= x + 2\\\\ y = x + 2$

The second step is to solve for the variable "x":

$x=y-2$

The third step is to interchange the variables, then:

$y=x-2$

Finally, let be h(x) the inverse of the function f(x). Then, you can replace "y" with h(x). Therefore, this is:

$h(x)=x-2$

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In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please

Anna11 [10]

<h3>Answer: 12 inches</h3>

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Explanation:

Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.

That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.

We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.

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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.

We'll use the pythagorean theorem to find XZ

a^2 + b^2 = c^2

(XZ)^2 + (ZY)^2 = (XY)^2

(XZ)^2 + (5)^2 = (13)^2

(XZ)^2 + 25 = 169

(XZ)^2 = 169-25

(XZ)^2 = 144

XZ = sqrt(144)

XZ = 12