We can use Triangle Inequality Theorem, the length of the third side of a triangle must always be between (but not equal to) the sum and the difference of the other two sides.
4.1 - 1.3 < x < 4.1 + 1.3
2.8 < x < 5.7
so, the answer is 2.8 < x < 5.7
The Square Root Of 8100 Is 90. That Will Be The Only Square Root Because The Square Root Of 90 Is A Decimal So You Would Stop There.
Answer: x
<u>Step-by-step explanation:</u>
The shortcut: f⁻¹ and f cancel each other out. So you are left with x
The long way:
f(x) = 47x - 55
f⁻¹(x) is when the x's and y's are swapped and you solve for y
x = 47y - 55
x + 55 = 47y
= y
f⁻¹(x) =
f⁻¹(f(x)) = ![\frac{(47x - 55) + 55}{47}](https://tex.z-dn.net/?f=%5Cfrac%7B%2847x%20-%2055%29%20%2B%2055%7D%7B47%7D)
= ![\frac{47x}{47}](https://tex.z-dn.net/?f=%5Cfrac%7B47x%7D%7B47%7D)
= x
Answer:
![{ \tt{0.002 \: \dashrightarrow \: \frac{1}{500} }} \\](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B0.002%20%5C%3A%20%5Cdashrightarrow%20%5C%3A%20%20%5Cfrac%7B1%7D%7B500%7D%20%7D%7D%20%5C%5C%20)
• reciprocal means an inverse;
![{ \boxed{ \tt{reciprocal \:\dashrightarrow \: 500 }}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Ctt%7Breciprocal%20%5C%3A%5Cdashrightarrow%20%5C%3A%20500%20%7D%7D%7D)