Graphing Radicals
Which direction does the following function translate?
f(x)=root(3)(x-1)
Moves to the right one unit.
Simplify the following radical expression:
16^(3/2)
64
Find the inverse of the function
f(x) = 2x+4
f^(-1)(x)=1/2x-2
Solve
sqrt(2x+1)=5
x=12
Find
g(x)-f(x)
when
f(x) = 3x-2 : g(x) = x2
g(x)-f(x)=x^2-3x+2
What is the y-intercept of the rational function (remember intercepts are coordinate pairs)
y=sqrt(x+4)
(0,2)
Simplify the following radical expression:
sqrt(16x^2)
4x
Find the inverse of the function with domain x>0
f(x) = 1/2x^4
f(x) = root(4)(2x)
Solve
root(3)(x^2-1)=2
x=3,-3
Find f(f(x)) when
f(x) = 3x-2 : g(x) = x2 : h(x) = -4x3-x
f(f(x)) = 9x-8
The point (0,0) on the function
y=sqrt(x)
moves to where for the following transformed function
y=sqrt(x-7)+4
(0,0) ->(7,4)
Simplify the following radical expression:
(8x^3)^(-5/3)
1/(32x^5)
Find the inverse of the function
f(x) = x^3+5
f(x) = root(3)(x-5)
Solve
sqrt(-10x-6) = sqrt(x^2+3)
x=-9,-1
Find
f(x) *g(x)
when
f(x) = 3x-2 : g(x) = x2 : h(x) = -4x3-x
f(x)*g(x) = 3x^3-2x^2
Identify the transformations of the following function
y=sqrt(x+5)+5
Left 5
Up 5
Simplify the following radical expression:
sqrt((81x^6y^8)/(36z^4))
(9x^3y^4)/(6z^2)
Are the following functions inverses?
f(x) = x-2 : g(x) = x+2
Yes, they are inverses
f(g(x)) = x = g(f(x))
Solve
-5(x+2)^(1/3)+ 67 = 52
x=25
Find g(f(x)) when
f(x) = 3x-2 : g(x) = x2-4
g(f(x))=9x^2-12x
Identify the transformations of the following function
y-6=root(3)(x+1.23)
Left 1.23
Up 6
Simplify the following radical expression:
root(3)(64x^4y^2)
4xroot(3)(xy^2)
Are the following functions inverses?
f(x) = 3x2-1 : g(x) = x1/2+1
No
Solve
sqrt(x+16)=2+sqrt(x)
x=9
Find f(g(h(x))) if
f(x) = 2x+1:&: g(x) = x^2+1 :&: h(x)=x+1
f(g(h(x)))= 2x^2+4x+5