View explanations and answer in the picture
Answer:
![-\frac{3\sqrt[3]{t} }{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%5Csqrt%5B3%5D%7Bt%7D%20%7D%7B2%7D)
Step-by-step explanation:
1: Write g(t) as y, resulting in 
2: Interchange the variables y and t, resulting in 
3: Multiply both sides by 27, resulting in 
4: Divide both sides by -8, resulting in 
5: Find the cube root of both sides, resulting in ![\sqrt[3]{-\frac{27t}{8} }=y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-%5Cfrac%7B27t%7D%7B8%7D%20%7D%3Dy)
6: Apply a radical rule, resulting in ![-\sqrt[3]{\frac{27t}{8} } =y](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B%5Cfrac%7B27t%7D%7B8%7D%20%7D%20%3Dy)
7: Apply another radical rule, resulting in ![-\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%5B3%5D%7B27t%7D%20%7D%7B%5Csqrt%5B3%5D%7B8%7D%20%7D%20%3Dy)
8: Simplify the denominator, resulting in ![-\frac{\sqrt[3]{27t} }{2} =y](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%5B3%5D%7B27t%7D%20%7D%7B2%7D%20%3Dy)
9: Apply yet another radical rule, resulting in ![-\frac{\sqrt[3]{27}\sqrt[3]{t} }{2} =y](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%5B3%5D%7B27%7D%5Csqrt%5B3%5D%7Bt%7D%20%20%20%7D%7B2%7D%20%3Dy)
10: Simplify ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
, resulting in ![-\frac{3\sqrt[3]{t} }{2} =y](https://tex.z-dn.net/?f=-%5Cfrac%7B3%5Csqrt%5B3%5D%7Bt%7D%20%20%20%7D%7B2%7D%20%3Dy)
Answer:
False
Step-by-step explanation:
Proof: Habitat is an animals main living area you could say, enviornment is the areas they could choose otherwise known as nature.
Answer:
A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.
Find the common denominator.
Multiply everything by the common denominator.
Simplify.
Check the answer(s) to make sure there isn't an extraneous solution.
The value of f⁻¹(f(58)) is 58 and the value of the function f(f(5)) is 11
<h3>How to solve the function values?</h3>
As a general rule, we have:
f⁻¹(f(x)) = x
Substitute 58 for x
So, we have:
f⁻¹(f(58)) = 58
Hence, the value of f⁻¹(f(58)) is 58
Also, we have:
f(f(5))
From the table, we have:
f(5) = 9
So, we have:
f(f(5)) = f(9)
From the table, we have:
f(9) = 11
So, we have:
f(f(5)) = 11
Hence, the value of the function f(f(5)) is 11
Read more about invertible function at:
brainly.com/question/14391067
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