Inverses
What is the inverse of f(x)=2x+3 ?
f-1(x)=(x-3)/2
Expand the logarithm: log (2x/3)
(log 2 + log x) - log 3
Subtract the polynomials: (3x2 + 4x - 7) - (12x2 - 9x +1)
-9x2 + 13x - 8
What is the squareroot of negative 1?
i
If the hypotenuse is 5, opposite is 4, and the adjacent is 3, what is tangent?
4/3
What is the inverse of f(x)=x2-4 ?
f-1(x) = sqrt(x+4)
Condense the logarithm: 3log 3 + 4 log x
log(33x4)
What is the degree of 6x4+9x2+12x6
6
Add the complex numbers (3i-12) + (-9i +7)
-6i -5
If the hypotenuse is 5, opposite is 4, and the adjacent is 3, what is secant?
5/3
What are the steps to find the inverse of a graph?
1. Identify two points
2. Switch x and y values
3. Graph new points and draw line
Rewrite the log as an exponent: log3x=123
3123=x
Factor the quadratic: x2-2x-15
(x-5)(x+3)
4i sqrt(3)
What is the formula to get from polar coordinates to cartesian coordinates?
x = r cos (theta)
y = r sin (theta)
What is the inverse of f(x) = 3(x-2)2 ?
f-1(x)= sqrt(x/3) + 2
Rewrite the exponent as a logarithm: mw = 123
logm 123 = w
6x4+5x3+4x2+31x+24
Multiply the complex numbers (12i-8)(3i-7)
If I have two sides and need to find the angle, what do I do?
use inverse trig
What is the inverse operation of cubing something?
cube root
What is the standard base for a logarithm?
10
Factor: 2x3+6x2 - 3x -9
(2x2-3)(x+3)
Simplify i sqrt(-5)
- sqrt(5)
What is the formula to go from cartesian to polar coordinates?
r = sqrt(x2+y2)
theta = tan-1(y/x)