Question

Find the inverse of f(x) = -6xˆ2 + 24x - 100

Answer 1

Answer:

See below

Step-by-step explanation:

y = -6x^2 + 24x-100

solve for 'x'

y + 100 =   -6x^2 + 24x   = -6(x^2-4x)    complete the square for x

(y+100) /(-6 ) =    (x-2)^2 -4                     add 4 to both sides

(y+100)/(-6) +4   = (x-2)^2                       sqrt both sides

sqrt [  ( y+100)/(-6) + 4  ]  + 2 = x           change  x and y

y = ± sqrt [ (x+100)/(-6) + 4 ] + 2            simplify (if needed)

y  = ± sqrt( -x/6 -12.666)  + 2