Answer:
D. [tex]g(x)=8x-15[/tex]
Step-by-step explanation:
Given
[tex]g(x)= f(x-2)[/tex]
[tex]f(x)=8x+1[/tex]
Now Calculating [tex]f(x-2)[/tex] by substituting value of [tex]x=x-2[/tex] in [tex]f(x)[/tex] function we get
[tex]f(x-2)= 8(x-2)+1\\f(x-2)=8x-16+1\\f(x-2)=8x-15[/tex]
Now
[tex]g(x)= f(x-2)[/tex]
[tex]\therefore g(x)= 8x-15[/tex]
