Question

find the inverse of each function. is the inverse a function? 1) f(x)=-2x+9 2) f(x) x^2+2

Answer 1

An easy way to find the inverse is

y = 2x+ 9 switch y and x
x = 2y +9 solve for y
(x-9)/2 = y

f^-1(x) (notation for inverse)

f^-1(x) =(x-9)/2


y = x^2 + 2

x = y^2 + 2

square root of (x-2) = y

f^-1(x) = square root of (x-2)

Answer 2

its -2x+9