And
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So :
And
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So to find g(x) , we must find the inverse of f(x) .
Let's do it .....
Subtract the sides of the equation minus 1
Divided the sides of the equation by 8
From the sides of the equation, we take the radical with interval 3
![\sqrt[3]{ \frac{y - 1}{8} } = x \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7By%20-%201%7D%7B8%7D%20%7D%20%3D%20x%20%5C%5C%20%20)
![\sqrt[3]{ \frac{1}{8}(y - 1) } = x \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B1%7D%7B8%7D%28y%20-%201%29%20%7D%20%3D%20x%20%5C%5C%20%20)
![\frac{1}{2} \sqrt[3]{y - 1} = x \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%5B3%5D%7By%20-%201%7D%20%3D%20x%20%5C%5C%20%20%20)
![\frac{ \sqrt[3]{y - 1} }{2} = x \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7By%20-%201%7D%20%7D%7B2%7D%20%3D%20x%20%5C%5C%20%20)
So ;
![{f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%28x%29%20%3D%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20%7D%7B2%7D%20%5C%5C%20%20%20%20)
Now we find g(x) which is :
![g(x) = \frac{ \sqrt[3]{x - 1} }{2} \\](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20%7D%7B2%7D%20%5C%5C%20%20)
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And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:245+3*20
305points
Step-by-step explanation:
To
answer this set of questions, all we have to do is just to substitute the value
of x in F(x) to the given f(x) equation.
By
substitution and following PEMDAS rule:<span>
F(-1)=2(-1)³-3(-1)²+7=5</span>
F(1)=2(1)³-3(1)²+7=6
F(2)=2(2)³-3(2)²+7=11
Therefore the answers
are 5, 6 and 11.
<span> </span>
7/3 +3(2/3 -1/3)^2 =
2/3 -1/3 = 1/3 now you have
7/3 +3(1/3)^2
1/3^2 = 1/9
7/3 +3(1/9)
3*1/9 = 1/3
7/3 + 1/3 = 8/3, which can be changed to 2 2/3
Answer: the answer is x=30
Step-by-step explanation:
