Question

Select the correct answer.if flor)21 + 1I –- 4, what is the value of 1-1(3),A.227B. iC.CO103O D.13O E.11

Answer 1

The inverse funtion of

`f(x)=(2x+1)/(x-4)`

is

`f^(-1)(x)=(4x+1)/(x-2)`

We can check this by doing

`f(f^(-1)(x))=(2((4x+1)/(x-2))+1)/((4x+1)/(x-2)-4)=((8x+2+x-2)/(x-2))/((4x+1-4x+8)/(x-2))=(9x)/(9)=x`

Now that we've confirmed it is the inverse function, we simply evaluate at x=3:

`f^(-1)(3)=(4(3)+1)/(3-2)=(12+1)/(1)=13`

Thus the answer is D.