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AnnZ [28]
3 years ago
15

Evaluate g(n-5) if g(x)=x^2-6/2x

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0

Answer: We want to evaluate g(x) in x = n -5, where g(x) = (x^2-6)/2x

then, doing it step by step: g( n- 5)= \frac{(n-5)^{2} - 6 }{2*(n-5)}= \frac{(n^{2} - 2*5*n + 25) - 6 }{2n - 10} = \frac{n^{2} - 10n + 19 }{2n - 10}

where i used that (a - b)^2 = a^2 -2ab + b^2

So the correct option is C.

Olegator [25]3 years ago
3 0
G(x) = (x^2-6) / 2x 

<span>g( n-5) = ( [n-5]^2 -6) / 2(n-5) </span>

<span>= ( n^2 -10n +25 -6 ) / 2(n-5) or ( n^2 -10n +25 -6 ) / (2n-10) </span>
<span>Your Answer </span>

<span>I did foil first and got n^2-10n+25 </span>
<span>then did 25-6 to get 19. </span>
<span>so n^2-10n+25 is on top.////// should have been n^2 -10n +19 </span>
<span>and the bottom is 2(n-5) so I distributed the 2 and got 2n-10 </span>

<span>so n^2-10n+25 </span>
<span>2n-10 </span>
<span>= (n^2 -10n +19) / 2(n-5)</span>
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