The equation of the function g(x) is g(x) = (x -4)/(x + 8)
How to determine the equation of the function g(x)?
The complete question is given as:
if g(x + h) = (x + h - 4)/(x + h + 8), determine the function g(x)
So, we have:
The function is given as:
g(x + h) = (x + h -4)/(x + h + 8)
To determine the function g(x), we simply substitute x + h for x in the equation g(x + h) = (x + h -4)/(x + h + 8)
So, we have
g(x) = (x -4)/(x + 8)
The above equation cannot be further simplified
Hence, the equation of the function g(x) is g(x) = (x -4)/(x + 8)
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Complete question
if g(x + h) = (x + h - 4)/(x + h + 8), determine the function g(x)
