Answer:
g(x) = x + 1
Step-by-step explanation:
h(x)=(f o g)(x)
h(x)=f(g(x)) (Equation 1)
![h(x)=\sqrt[3]{x+3}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B3%7D)
![f(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
![f(g(x))=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
Replacing in the Equation 1:
![\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
Solving for g(x): Raising both sides to the power 3:
![(\sqrt[3]{x+3})^{3}=(\sqrt[3]{g(x)+2})^{3}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%2B3%7D%29%5E%7B3%7D%3D%28%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D%29%5E%7B3%7D)
x+3=g(x)+2
Subtracting 2 from both sides of the equation:
x+3-2=g(x)+2-2
x+1=g(x)
g(x)=x+1
Answer:
100000
Step-by-step explanation:
10 x 10 x 10 x 10 x 10
Greatest common factor of 42, 98, and 14 is 14
The factors of 14 are: 1, 2, 7, 14
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
Answer:
Step-by-step explanation:
The answers are - 5x+8y and 5(4)+2(8)=36
Explanation
To solve the equation, you would substitute x and y for 5 and 8.
-Ex: 5(4)+8(2)=36
The numbers in the parentheses get multiplied by the numbers on the outside. Making ‘5(4)’=20 and ‘8(2)’=16
So 5(4)+8(2)=36