Polynomials
(4x+3) + (10x2-4)
or
(-10x2-10)+(9x2+4x)
10x2 + 4x - 1
or
-x2+4x+10
For the function f(x) = 6(x+1), find f-1(x).
OR
For the function f(x) = 5(x-5), find f-1(x).
f-1(x) = x/6 - 1
f-1(x) = x/5 +5
9y5z - 18x4y
OR
2x2 + 17x + 21
9y(y4z-2x4)
OR
(2x+3)(x+7)
5x2 - 11x + 12 = 6
x = 6/5 and x = 1
Standard Form
f(x) = ax2 + bx + c
(7x-10) - (9x2-5x+10)
or
(3x+9)-(5x2-7x)
9x2 + 12x - 20
or
-5x2 +10x +9
For the function f(x) = (x-10)1/3, find f-1(x).
OR
For the function f(x) = (x-7)/7, find f-1(x).
f-1(x) = x3 + 10
f-1(x) = 7x+7
15x2 - 50x - x3
OR
3x2 + 16x + 16
-x(x-10)(x-5)
OR
(3x+4)(x+4)
3x2 - 15x - 8 = -10x
x = -1 and x = 8/3
Intercept Form (Factored Form)
f(x) = a(x±α)(x±β)
(3x-7)(2x-3)
or
(4x+12)(8x-2)
6x2 - 23x + 21
or
32x2 + 88x - 24
For the function f(x) = 2(x-3)1/7, find f-1(x).
OR
For the function f(x) = ( (x-5) / 7 )1/5, find f-1(x).
f-1(x) = (x/2)7 + 3
f-1(x) = 7x5 +5
3x3 - 24x2 + 45x
OR
x2 - 11x + 18
3x(x-3)(x-5)
OR
(x-2)(x-9)
x2 - 18x - 16 = -9x - 6
x = 10 and x = -1
Vertex Form
(2x-1)(-2x2+4x+5)
or
(3x+5)(-3x2+x+3)
-4x3 + 10x2 + 6x - 5
or
-9x3 - 12x2 + 14x + 15
For the function f(x) = (3x-5)/2x , find f-1(x).
OR
For the function f(x) = 9(x+2)1/7 , find f-1(x).
f-1(x) = -5/(2x-3)
f-1(x) = (x/9)7-2
x4 - 5x2 + 4
OR
x2y4 + x3y5
(x-2)(x+2)(x-1)(x+1)
OR
x2y4(1+xy)
x2 - 15x + 28 = -2x - 2
x = 10 and x = 3
Absolute Value Formula
f(x) = a|x-h| + k
2(x-2)2+2(x-2)+5
or
(X-4)2+3(x-4)+6
2x2 - 6x + 9
or
x2 - 5x + 10
Find the inverse function f(x) = (5x)2/5 on the domain x≥0.
OR
Find the inverse function f(x) = 2x2/3 on the domain x≥0.
f-1(x) =
f-1(x) =
12x3 - 35x - x5
OR
35x2 + 63x4
-x(x2-7)(x2-5)
OR
7x2(5+9x2)
x2 - 22 = 5x + 2
x = 8 and x = -3
Quadratic Formula
(-b±√(b²-4ac))/(2a)