Question

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

Answer 1

Choice C is correct answer.

Explanation:

We have given a function.

g(x) = x²-6 / 2x

We have to find the value of g(n-5).

Replacing x with n-5 in given function, we have

g(n-5) = (n-5)²-6 / 2(n-5)

Using following formula

a²-2ab+b² = (a-b)(a-b)

n²-10n+25 = (n-5)(n-5)

g(n-5) = n²-10n+25-6 / 2n-10

Adding like terms , we have

g(n-5) = n²-10n+19 / 2n-10 which is the answer.

Answer 2

Option c is correct

Explanation:

`g(x) = (x^2-6)/(2x)`

We have to find g(n-5), for this purpose we will put x = n-5 in the above function

`g(n-5) = ((n-5)^2-6)/(2(n-5))`

`g(n-5) = ((n^2 + 25 - 10n - 6))/(10n-10)`

`g(n-5) = ((n^2 - 10n + 19))/(10n-10)`