The value of (f/g)(x) is [tex]\frac{x+5}{x}[/tex]
we have given that the function
[tex]f(x) = 4x^2 + 19x - 5[/tex] and [tex]g(x) = 4x^2 - x[/tex]
We have to find [tex](f/g)(x)[/tex]
What is the simplified form of [tex](f/g)(x)[/tex]?
[tex]\frac{f}{g}(x)=\frac{f(x)}{g(x)}[/tex]
[tex]\frac{f}{g}(x) =\frac{ 4x^2 + 19x - 5}{ 4x^2 - x}\\\\\frac{f}{g}(x) =\frac{(4x-1)(x+5)}{x(4x-1)} \\\\\frac{f}{g}(x) =\frac{x+5}{x}[/tex]
Therefore the value of (f/g)(x) is [tex]\frac{x+5}{x}[/tex]
To learn more about the division of function visit:
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