Answered

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- Given f(x) = 8x + 1 and g(x) = f(x - 2), which equation represents g?
A g(x) = 6x + 1
B g(x) = 6x - 1
C g(x) = 8x + 15
D g(x) = 8x - 15

Sagot :

Medunno13

Answer: D

Step-by-step explanation:

g(x)=f(x-2)=8(x-2)+1=8x-16+1=8x-15

We are given that ;

  • f(x) = 8x + 1
  • g(x) = f(x-2)

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

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