Question

Give the three general forms for:

a) the reciprocal of a linear function
b) the reciprocal of a quadratic function
c) a rational function

Please give me in a full details for each please...

Answer 1

reciprocal of a linear function?
I suppose we could say:
f(x) = 1/(mx + b)
e.g. y = 1/(3x -5)

reciprocal of a quadratic function?
How about
f(x) = 1/(ax^2 + bx+ c)

rational functions could have many different forms
(there has to be an independent variable in the denominator)

e.g. f(x) = 3x/(4x + 5)
e.g. g(x) - 4x^2/( (4x+1)(x^3 + 6)(x^2+6) )

Was not aware of "three general forms" for any of those three types.