Composite functions with log

[luka333]

In task where it says gof (16) and where the answer is 32, I guessed that one randomly.
I have no clue how to solve this, so if anyone is kind enough to write the whole process of solving, thank you.

 

[Deleted member 4993]

In task where it says gof (16) and where the answer is 32, I guessed that one randomly.
I have no clue how to solve this, so if anyone is kind enough to write the whole process of solving, thank you.

Please translate the assignment into english so that all the tutors can help you guide towards the solution/s.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[luka333]

Please translate the assignment into english so that all the tutors can help you guide towards the solution/s.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

"Zadane su funkcije" in english means "solve the given functions" In the reply I will send my try of solving the task g(16)

I'm not asking to solve both of tasks, just to show the way how to solve one at least so I have an example for practice

 

[tkhunny]

f(16) = What?
g(What?) = WhatElse?

 

[pka]

#1) Given \(f(x)=\log_2(x)~\&~g(x)=\dfrac{x^3}{2}\) then \((g\circ f(x))\)=\(\dfrac{{{{\left[ {{{\log }_2}(x)} \right]}^3}}}{2}\)

 

[luka333]

#1) Given \(f(x)=\log_2(x)~\&~g(x)=\dfrac{x^3}{2}\) then \((g\circ f(x))\)=\(\dfrac{{{{\left[ {{{\log }_2}(x)} \right]}^3}}}{2}\)

Thank you so much, sir.