Finding the inverse of a function
Factoring Quadratic Expressions
The imaginary unit i
Multiply complex numbers
Completing the square and taking square roots
100

x=-1/3y+1

y=-3x+3

100

x^2+9x+14

(x+2)(x+7)

100

Write this number in terms of i

square root -25

5i

100

(7+7)(i)

14i

100

5x^2-23=0

x=+ or - the square root of 115 divided by 5

200

f(x)=1/2x-5/2

g(x)=2x+5

200

x^2-7x-30

(x-10)(x+3)

200

square root -150

5i square root 6

200

(2+3)(3i)

15i

200

2(x-3)^2-5=0

x-3=+ or - the square root of 10 divided by 2

300

f(x)=1/8x-9/2

g(x)=8x+36

300

x^2-144

(x-12)(x-12)

300

square root -12

2i square root 3

300

(3i)(3i)

-9

300

4(x+5)^2-49=0

x1=-17/2, x2=-3/2

400

Is the given inverse of the equation true or false?

f(x)=x/2+3, g(x)=2x+6

False the correct inverse is g(x)=2x-6

400

5x^2+40x+75

5(x+5)(x+3)

400

square root -49

7i

400

(2+3i)(4-5i)

23+2i

400

25x^2-7=0

x=+ or - the square root of 7 divided by 5

500

What's the inverse of p(t)=6t+8?

p^-1(t)=t-8/6

500

-12x^2+108

12(x-3)(x+3)

500

5- square root -36

5-6i

500

(-5+2i)(2+-9i)

49i+8

500

2x^2+12x+5=0

x=-3 + or - the square root of 26 divided by 2