Question

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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

Answer 1

Answer: D

Explanation:

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

Answer 2

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 .

`{:\implies \quad \sf f(x)=8x+1}`

Now ,

`{:\implies \quad \sf f(x-2)=8(x-2)+1}`

`{:\implies \quad \sf g(x)=8x-16+1\quad \qquad \{\because Given\}}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{g(x)=8x-15}}}`

Hence , Option D) 8x - 15 is correct