Let f ( x ) = x + 3/x+8 What is f^-1(-1)

Answer 1

The answer is 3-8x/x-1 first replace x with y then solve for y by multiplying x-8 on both sides then distribute x into y+8 on the left side then subtract 8x then y on both sides then factor yx-y on the right side then divide by x-1 on both sides. Then plug in -1 into 3-8x/x-1 to get your answer.

Answer 2

Hi,

f^-1(-1)= ?

Be careful (generally), -1 is input for f^-1, so -1 is out put for function

it means: f ( x ) = x + 3/x+8 = -1

now you need to solve equation x + 3/x+8 = -1 (both sides times x)

x² + 3 + 8x = -x ====> x² + 9x + 3 = 0 as you know this equation has 2 different answers .

Note: this given function is not one to one so there is not inverse of function, I have no idea why ask you f^-1(-1)= ?

Please let me know, If you have any question.

Minoo