SOL REVIEW

Powers of I

100

What equals i²

-1

200

what is equal to i⁴

1

300

What do you always divide the exponent by?

4

400

What does i⁶⁷ equal?

-i

500

What are the powers of I?

0.25= √-1

0.5= -1

0.75= -i 

R0= 1

Complex numbers

100

Solve. (4-5i)(12+11i)

103-16i

200

_{Solve the following: 3-(-2+3i)+(5+1)}

-2i

300

1+6i. Write your answer in a +bi form

7i

400

-10+5i . Write your answer in the a +bi form

-5i

500

What is the complex conjugate of -5+8i

-5-8i

Inverse Functions

100

Find the inverse function of the function f(x)=3x+3

(x-3)/3

200

Find the inverse of f(x)= -4x-12

f^-1(x)= -1/4 x-3

300

if f^-1(x)=2x, find f(x)

x/2

400

What are the steps to finding an inverse function?

1. Determine if f(x) is a one-to-one function (the horizontal line test is a quick way to do this)
2.Replace f(x) with y

3. Switch the y and x

4. Solve for y

5. Replace y with f^-1(x)

6. Check for domain restrictions

500

What is the inverse of the given coordinates: (1,2) (3,8) (-3,6)

(2,1) (8,3) (6,-3)

Composition of functions

100

Find (g o g) x

g(g(x))= x-12

200

Do ( f o g) (x) and f(g(x)) mean the same thing

yes!!!!

300

Given f(x)=x-1 and g(x)=5x+2 find f(g(2))

11

400

g(m)=m³ and h(m)=m²/m+3. Evaluate (g o h)(6)=

(g o h) (6)= 64

500

for f(x)= 2x+3 and g(x)= -x²+1, find the composite function defines by (f o g) (x)

-2x²+5

Radical operations

100

_{Add: 2√3 + 3√3}

5√3

200

Find the product: (3√6) (2√3) 

18√2

300

Simplify the square root of 75

5√3

400

simplify the radical √20a²b⁴ 

2ab²√5

500

Solve. 4√10a ⋅ 3√2a 

24a√5