f(x - 2) is a composite function of f(x)
The equation that represents g is: [tex]\mathbf{g(x) = 8x - 15}[/tex]
The functions are given as::
[tex]\mathbf{f(x) = 8x + 1}[/tex]
[tex]\mathbf{g(x) = f(x-2)}[/tex]
Substitute x - 2 for x in [tex]\mathbf{f(x) = 8x + 1}[/tex]
[tex]\mathbf{f(x - 2) = 8(x - 2) + 1}[/tex]
Expand
[tex]\mathbf{f(x - 2) = 8x - 16 + 1}[/tex]
[tex]\mathbf{f(x - 2) = 8x - 15}[/tex]
Substitute [tex]\mathbf{f(x - 2) = 8x - 15}[/tex] in [tex]\mathbf{g(x) = f(x-2)}[/tex]
[tex]\mathbf{g(x) = 8x - 15}[/tex]
Hence, the equation that represents g is: [tex]\mathbf{g(x) = 8x - 15}[/tex]
Read more about composite function at:
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