Inverse Functions

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴+5x)

6x⁶+15x³

200

Multiply the Polynomials:

3x(2x + 4x² - 5)

12x³ + 6x² - 15x

300

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

400

Multiply the Polynomials:

(x - 1)(−8x² − 6x − 12 )

-8x³ - 6x² - 12x + 8x² + 6x + 12

-8x³ + 2x² - 6x + 12 (Correct Answer)

500

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

Solving Linear Inverses

100

Solve for the inverse of y = x - 3

What is f^-1(x) = x + 3

200

Solve for the inverse of y = 8x

What is f^-1(x) = x/8

300

Solve for the inverse of y = 3x + 2

What is f^-1(x) = (x - 2) / 3

400

Solve for the inverse of y = -2x - 1

What is f^-1(x) = (x + 1) / -2

500

Solve for the inverse of y = 2x - (4x + 1)

What is f^-1(x) = (x + 1) / -2

Solving Square Root Inverses

100

Solve for the inverse of y = x²

What is f^-1(x) = ±√(x)

200

Solve for the inverse of y = x² + 2

What is f^-1(x) = ±√(x - 2)

300

Solve for the inverse of y = -2x² - 4.

What is f^-1(x) = ±√( (x + 4) / -2)

400

Solve for the inverse of y = 5x² - 1

What is f^-1(x) = ±√((x + 1) / 5)

500

Solve for the inverse of y = 2(x² + 1)

What is f^-1(x) = ±√((x - 2) / 2)

Solving Multi-Step Inverses

100

Solve for the inverse of y = 2(x + 1)

What is f^-1(x) = (x - 2) / 2

200

Solve for the inverse of y = 3(2x + 1)

What is f^-1(x) = (x - 3) / 6

300

Solve for the inverse of y = 2(x + 1) - 3x

What is f^-1(x) = (x - 2) / -1

400

Solve for the inverse of y = 5x² + 4x² - 6

What is f^-1(x) = ±√( (x + 6) / 9)

500

Solve for the inverse of y = 5(x² + 2) - 2(x² + 1)

What is ±√( (x - 8) / 3)