legendarybihana legendarybihana
  • 29-06-2020
  • Mathematics
contestada

For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)

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xKelvin
xKelvin xKelvin
  • 29-06-2020

Answer:

The answer is: [tex]\frac{x^2-5}{4x+1}[/tex]

Step-by-step explanation:

We are given: [tex]f(x)=4x+1[/tex] and [tex]g(x) = x^2-5[/tex]

We need to find [tex](g/f)(x)[/tex].

Simply divide [tex]g(x)[/tex] and [tex]f(x)\\[/tex].

Which equates to:

[tex](g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}[/tex]

This cannot be simplified further, so it is the answer.

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