Rational Exponents
Composition of Functions
Inverse Functions
Radical Transformations
Solving Radical Equations
100
Simplify
sqrt(16x^4y^12)
4x2y6
100
Find
fcircg
f(x) = 3x - 4
g(x) = 5x2
15x2-4
100
Find the inverse
y = 3x + 8
f^-1(x)=(x-8)/3
100
State the transformations :
y= sqrt (x-5)
What is 5 units to the rights
100
Solve
(x+5)1/2 = 3
x = 4
200
Simplify
sqrt(x^2y^3)*sqrt(x^4y^5)
x3y4
200
Find gcircf
f(x) = -x2 - 2x
g(x) = -2x - 5
2x^2+4x-5
200
Find the inverse
y = x2 - 1
f^-1(x)=sqrt(x+1)
200
State the transformations:
y=sqrt(x-5)+2
What is 5 units right and 2 units up
200
Solve
(x-7)1/2 - 3 = 4
x = 56
300
Simplify
5sqrt(7)-2sqrt(175)
-5sqrt(7)
300
Find f*g
f(x) = x2 - 2x
g(x) = x - 7
x^3-9x^2+14x
300
What is the domain of f^-1(x)
y = x2-3
f^-1(x) =sqrt(x+3)
Domain
[-3,oo)
300
Sketch the graph
y=sqrt(x-2) + 4
300
Solve
sqrt(3x-2)+4=6
x = 2
400
Simplify
sqrt(48a^8)/sqrt(16a^2)
a^2sqrt(3)
400
Find f-g
f(x) = 6x - 3
g(x) = x - 3
5x
400
Find the inverse. Do not multiply, leave in parenthesis.
f(x)=root(3)(x+2)-4
f^-1(x)=(x+4)^3-2
400
Sketch the graph
400
Solve
-3root(3)(2-3x)-2 = 1
x = 1
500
Simplify
(5sqrt(11)+2)(2sqrt(11)+5)
120+29sqrt(11)
500
Find (fcircg)(9)
f(x) = x2
g(x) = x2+4
7225
500
Find the inverse and state the domain and range
f(x)=sqrt(3+x)
f^-1(x)=x^2-3
D= (-oo,oo)
R= [-3,oo)
500
State the transformations:
y= -2 sqrt(x-4)-3
What is
reflection over x-axis
vertical stretch by 2
4 units right
3 units down
500
Solve.
root(3)(x^2 +5x +3)-7=-4
x = -1