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From the parent function LaTeX: f\left(x\right)=\frac{5}{x}f ( x ) = 5 x, write the equation of the function g(x) if f(x) is transformed 4 units to the left and 1 unit up.

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sqdancefan

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Answer:

  [tex]g(x)=\dfrac{5}{x+4}+1[/tex]

Step-by-step explanation:

The transformation of f(x) by h units right and k units up gives ...

  f(x -h) +k

Here, you want 4 units left, so h=-4, and 1 unit up, so k=1. This gives ...

  g(x) = f(x+4) +1

  g(x) = 5/(x +4) +1

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