+, -, simplifying radicals
How do you know when to simplify and when to solve
Solving is when there is an equals sign, simplifying is when there isn't one.
(-12x4y)1/3 (4x2y2)1/3
-2x2y(6)1/3
How to determine if the inverse is a function.
What is horizontal line test.
solve: (square root)(3x+7)=4
What is x=3?
simplify: 5(-80a5)1/3
What is -10a(10a2)1/3
In the math problem f(x) = 3x-8 and g(x) 2x^2 find f(g(5)) .
What is 118?
f(g(x)) =x and g(f(x))=x
What is verifying that f and g are inverses of each other.
Solve: (sq. root)(3x)=(sq root)(x+8)
What is x=4?
(64x4y2)1/3
What is 4x(xy2)1/3?
(112a6b12)1/2/
(7a2b3)1/2
What is 4a2b4(b)1/2
Inverse of f(x)=3x+1.
What is f-1(x)=(x-1)/3
what is the domain and range of the function f(x)=-1/2(x)1/2-3
The doamin is [0,infinity) and the range is (-infinity,-3]
When the answer you solved for does not work in the original equation to make a true statement.
What is an extraneous solution?
-3(256p13q5)1/4
What is -12p3q(pq)1/2
((sq root)3+(sq root)6)(2(sq root)3-5(sq root)6)
-24-9(sq root)2
inverse of f(x)=x^3-2
What is f-1(x)=(x+2)1/3?
What are the transformations of f(x)=(x-7)1/2+2
right seven and up two
Solve: 3x^(3/4)=24
What is 16?
-(6)1/2-3(45)1/2+2(96)1/2
What is -9(5)1/2+7(6)1/2
What would g(x)/f(x) be. Include the domain in your answer. f(x) = 3x-8 and g(x) 2x^2
What is 2x^2/3x-8 Domain: x can not = 8/3
Verify that f(x)=(1/3 x)-3 and g(x)=6x+18 are inverses.
they are not inverses: f(g(x))=2x+3
y=-4(sq root)(x-5) +1 What are the transformations?
What is shift right five, down one, reflect across x axis, and stretch by 4
solve: n=(13n-40)1/2
x={5,8}