Answer: D
Step-by-step explanation:
g(x)=f(x-2)=8(x-2)+1=8x-16+1=8x-15
We are given that ;
And we need to find g(x) in simplified form . For this we will consider f(x) and then substitute x by x-2 .
[tex]{:\implies \quad \sf f(x)=8x+1}[/tex]
Now ,
[tex]{:\implies \quad \sf f(x-2)=8(x-2)+1}[/tex]
[tex]{:\implies \quad \sf g(x)=8x-16+1\quad \qquad \{\because Given\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{g(x)=8x-15}}}[/tex]
Hence , Option D) 8x - 15 is correct
