Answer:
The only pair of functions that are inverses of each other are the ones for option D.
Step-by-step explanation:
Two functions, f(x) and g(x), are inverses if and only if:
f( g(x) ) = x
g( f(x) ) = x
So we need to check that with all the given options.
A)
then:
This is clearly different than x, so f(x) and g(x) are not inverses.
B)
![f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B11%2Ax%7D%20%5C%5Cg%28x%29%20%3D%20%28%5Cfrac%7Bx%7D%7B11%7D%20%29%5E3)
Then:
![f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%5Csqrt%5B3%5D%7B11%2A%28%5Cfrac%7Bx%7D%7B11%7D%29%5E3%20%7D%20%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%5E3%7D%7B11%5E2%7D%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B11%5E%7B2%2F3%7D%7D)
This is different than x, so f(x) and g(x) are not inverses.
C)
Then:
Obviously, this is different than x, so f(x) and g(x) are not inverses.
D)
Then:
In this case we can conclude that f(x) and g(x) are inverses of each other.
Answer:a^2
Brailniest if this helped ;)
Also the ^ means an exponent just so you know
Answer:
55 square meters
Step-by-step explanation:
I used an online calculator and that's what i got
Answer: 0.00604
Step-by-step explanation: 10^-3 would be 0.001. If you multiply that by 6.04, you will get 0.00604
I hope that helps! :D
Answer:
The list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
Step-by-step explanation:
We know that in a triangle the greater angle has the longer side opposite to it.
From the given triangle,
Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.
Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.
Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.
Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
