Answer:
so its 72÷6 so I think it would be 12
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
Answer:
2, -2
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x - 3
To find g(f(x)), you need to put f(x) into g(x).
g(f(x)) = (2x + 1) - 3
g(f(x)) = 2x + 1 - 3
g(f(x)) = 2x - 2
Your answer will be 2 and -2.
Answer:
None of the following statements have the same result.
Step-by-step explanation:
1) f(2) when f(x) = 3x + 4
We just have to put x=2
![f(x)=3x+4\\f(2)=3(2)+4\\f(2)=6+4\\f(2)=10](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B4%5C%5Cf%282%29%3D3%282%29%2B4%5C%5Cf%282%29%3D6%2B4%5C%5Cf%282%29%3D10)
So, f(2) when f(x) = 3x + 4 is x=10
2) f⁻¹ (4) when f(x) =3x-4/5
We need to find f⁻¹(x) first.
Put ![y=3x-\frac{4}{5}](https://tex.z-dn.net/?f=y%3D3x-%5Cfrac%7B4%7D%7B5%7D)
Now solve for x
Add 4/5 on both sides
![y+\frac{4}{5}=3x-\frac{4}{5}\\y+\frac{4}{5}=3x\\x=\frac{1}{3}y+\frac{4}{5*3}\\x=\frac{1}{3}y+\frac{4}{15}\\x=\frac{5y+4}{15}](https://tex.z-dn.net/?f=y%2B%5Cfrac%7B4%7D%7B5%7D%3D3x-%5Cfrac%7B4%7D%7B5%7D%5C%5Cy%2B%5Cfrac%7B4%7D%7B5%7D%3D3x%5C%5Cx%3D%5Cfrac%7B1%7D%7B3%7Dy%2B%5Cfrac%7B4%7D%7B5%2A3%7D%5C%5Cx%3D%5Cfrac%7B1%7D%7B3%7Dy%2B%5Cfrac%7B4%7D%7B15%7D%5C%5Cx%3D%5Cfrac%7B5y%2B4%7D%7B15%7D)
Now put f⁻¹(x) instead of x and replace y with x
![f^{-1}(x)=\frac{5x+4}{15}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B5x%2B4%7D%7B15%7D)
Now finding f⁻¹(4)
![f^{-1}(x)=\frac{5x+4}{15} \\f^{-1}(4)=\frac{5(4)+4}{15} \\f^{-1}(4)=\frac{20+4}{15} \\f^{-1}(4)=\frac{24}{15}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B5x%2B4%7D%7B15%7D%20%5C%5Cf%5E%7B-1%7D%284%29%3D%5Cfrac%7B5%284%29%2B4%7D%7B15%7D%20%5C%5Cf%5E%7B-1%7D%284%29%3D%5Cfrac%7B20%2B4%7D%7B15%7D%20%5C%5Cf%5E%7B-1%7D%284%29%3D%5Cfrac%7B24%7D%7B15%7D)
f⁻¹ (4) when f(x) =3x-4/5 is 24/15
3) ![3y - 6 = y + 10\\](https://tex.z-dn.net/?f=3y%20-%206%20%3D%20y%20%2B%2010%5C%5C)
Solving:
![3y - 6 = y + 10\\3y-y=10+6\\2y=16\\y=16/2\\y=8](https://tex.z-dn.net/?f=3y%20-%206%20%3D%20y%20%2B%2010%5C%5C3y-y%3D10%2B6%5C%5C2y%3D16%5C%5Cy%3D16%2F2%5C%5Cy%3D8)
Solving 3y − 6 = y + 10, we get y=8
None of the following statements have the same result.