Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
Answer: 30
Step-by-step explanation:
5 in fraction form is 5/1. You can't divide fractions so you keep the 5/1 the same, turn the divide sign into a multiplication sign, then flip the 1/6 to 6/1 then multiply across. The answer would be 30/1 or 30.
Answer: 3/2
Step-by-step explanation:
Since, two variables are called proportional if there is always a constant ratio between them.
And, The constant is called the coefficient of proportionality or proportionality constant.
Let x and y are proportional to each other.
Therefore, x ∝ y ⇒ y=kx
Where k is any constant.
For, x=2 and y=3 k= 3/2
For, x=4 and y=6, k=3/2
For x=6 and y=9, k= 3/2
Since, here the value of k is constant.
Therefore, k is the coefficient of proportionality.
And, given table is propositional.
Answer:
2) d. 60°
3) a. AB
Step-by-step explanation:
<u>Question 2</u>
ΔABC and ΔCDA are <u>congruent</u> because:
- they are both <u>right triangles</u>
- they <u>share one side</u> (AC)
- their hypotenuse are <u>parallel</u> (marked by the arrows)
This means the corresponding side lengths and angles are equal.
Therefore,
∠CDA = ∠ABC
⇒ x = 60°
<u>Question 3</u>
The <u>hypotenuse</u> is the <u>longest side</u> of a <u>right triangle</u> - the side opposite the right angle (the right angle is shown as a small square).
Therefore, the hypotenuse of ΔABC is the line AB.
I believe the answer to this is the third box
