Answer:
3y+30
Step-by-step explanation:
Answer:
The inverse of f(x) = 3x - 5 is f^(-1) (x) = (1 / 3) x + (5 / 3), which is a linear expression
Answer:
![\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}](https://tex.z-dn.net/?f=%5CLarge%20%5Cboxed%7B%5Cmathrm%7B%5Cbold%7BD.%7D%7D%20%5C%20f%28x%29%20%3D%20%7C%202x%5E2%20%2B%20x%20%7C%20%5C%20%5Cmathrm%7Band%7D%20%5C%20g%28x%29%20%3D%20%28x%20%2B%201%29%7D)
Step-by-step explanation:
![f(g(x)) = | 2(x + 1)^2 + (x + 1) |](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%7C%202%28x%20%2B%201%29%5E2%20%2B%20%28x%20%2B%201%29%20%7C)
The first option :
![f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%2B%201%29%5E2%20%5C%20%5Cmathrm%7Band%7D%20%5C%20g%28x%29%20%3D%20%7C%202x%20%2B%201%20%7C)
![f(g(x))=(|2x+1|+1)^2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%28%7C2x%2B1%7C%2B1%29%5E2)
The second option :
![f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%2B%201%29%20%5C%20%5Cmathrm%7Band%7D%20%5C%20g%28x%29%20%3D%20%7C%202x%5E2%20%2B%20x%20%7C)
![f(g(x))=(|2x^2 +x|+1)](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%28%7C2x%5E2%20%2Bx%7C%2B1%29)
The third option :
![f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7C%202x%20%2B%201%20%7C%20%5C%20%5Cmathrm%7Band%7D%20%5C%20g%28x%29%20%3D%20%28x%20%2B%201%29%5E2)
![f(g(x))=|2(x+1)^2 +1 |](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%7C2%28x%2B1%29%5E2%20%2B1%20%7C)
The fourth option :
![f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7C%202x%5E2%20%2B%20x%20%7C%20%5C%20%5Cmathrm%7Band%7D%20%5C%20g%28x%29%20%3D%20%28x%20%2B%201%29)
![f(g(x))= | 2(x + 1)^2 + (x + 1) |](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%20%7C%202%28x%20%2B%201%29%5E2%20%2B%20%28x%20%2B%201%29%20%7C)
Answer:
|$1.33 monthly
Step-by-step explanation:
<span>Acute angle is an angle measure less than 90 degrees
Right angle is an angle that measure 90
degrees
Obtuse angle is an angle that measure more than 90 degrees.
In the given situation, we need to find the value of x of an acute angle with
the given situation
=> (2x-12)
=> 0 < (2x -12) < 90
=> 12 < 2x < 102
=> 6 < x < 51
Let’s check our answer
=> 2 (51- 6)
=> 102 – 12
=> 90
Thus, the value of x = 51 degrees
</span>