9 Find the inverse of the function t2 Solutionfxy x22x21 Swi

9. Find the inverse of the function t+2

f(x)=y= (x²+2)/(x²-1)

Switching x and y

x=(y²+2)/(y²-1)

xy²-x=y²+2

y²=(2+x)/(x-1)

y= sqrt((2+x)/(x-1)) or y=-sqrt((2+x)/(x-1))

f^-1(x)= sqrt((2+x)/(x-1)) or f^-1(x)=- sqrt((2+x)/(x-1))

9. Find the inverse of the function t+2 Solutionf(x)=y= (x2+2)/(x2-1) Switching x and y x=(y2+2)/(y2-1) xy2-x=y2+2 y2=(2+x)/(x-1) y= sqrt((2+x)/(x-1)) or y=-sq

Tutor

Dr Jack

Tutor: Dr Jack

Most rated tutor on our site