Answer to Question #208713 in Algebra for someone

Question #208713

Use the function f(x)=2^x/x to answer the question.

Which combination could result in the function f(x)?


  • adding a quadratic function and a rational function
  • dividing an exponential function by a linear function
  • adding an exponential function and a linear function


(select the correct option)



1
Expert's answer
2021-06-22T07:12:23-0400

Let us use the function f(x)=2xxf(x)=\frac{2^x}{x} to answer the question: which combination could result in the function f(x)f(x)? Taking into account that the function g(x)=2xg(x)=2^x is an exponential function and the function h(x)=xh(x)=x is a linear function, we conclude that the function f(x)=g(x)h(x)=2xxf(x)=\frac{g(x)}{h(x)}=\frac{2^x}{x}is a result of dividing an exponential function by a linear function.


Answer: dividing an exponential function by a linear function


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