Target 1
Given f(x) and g(x) find the following :
f(x)=3x^2+1
g(x)=sqrt(x-1)
(f+g)(3)
32
What test must you do to determine if the graph of a function can have an inverse?
Horizontal Line Test
Simplify:
root(3)(192a^7b^3c^5)
4a^2bcroot(3)(3ab^2)
Rewrite the following using the small possible rational root:
root(27)(c^9)
root(3)c
What is the parent function of:
f(x)=sqrtx-4
f(x)=sqrtx
Given f(x) and g(x) find the following:
f(x)=2x^2-4x+1
g(x)=3x+2
(f-g)(x)=
2x^2-7x-1
What must the graph of a function pass to be considered a one-to-one function?
Both the horizontal and vertical line test
Simplify:
root(4)((3a^3)/(27b^2c)
(root(4)(9a^3b^2c^3)/(3bc))
Rewrite the following using radicals with the smallest possible root:
(x^(1/12))^3
root(4)x
How does the function shift from its parent function:
f(x)=sqrt(x+4)-3
Down three and left 4
Given f(x) and g(x) find the following:
f(x)=3x^2+2
g(x)=2x+1
f(x)*g(x)=
6x^3+3x^2+4x+2
Given f(x), find the inverse of f(x):
f(x)=2x+3
f^-1(x)=1/2x-3/2
Simplify:
(3-2sqrt5)(2+3sqrt5)
-24+5sqrt5
Simplify the following using and write using the smallest possible root:
root(4)((81b^3)^3
27b^2sqrtb
Describe the end behavior of the following function without using your calculator:
f(x)=x^4-3x^5
As x=>oo, f(x)=>-oo
As x=>-oo, f(x)=>oo
Given f(x) and g(x) answer the following:
f(x)=3x+4
g(x)=2x^2+3
(f@g)(-2)=
37
Given f(x) and g(x), determine if the functions are inverses of each other using composition:
f(x)=3x+7
g(x)=1/3x+7/3
No
Simplify:
(2+sqrt5)/(3-sqrt5
(11+5sqrt5)/4
Simplify the following using rational exponents to the smallest possible root:
(x^(1/3)y^(2/5))/(x^(2/3)y^(1/5))
(y^(1/5))/x^(1/3)
Given 3, -2, and 4 are zeros of a function, find the specific function goes through the point (1,2).
f(x)=-1/9(x-3)(x+2)(x-4)
Given f(x) and g(x) answer the following:
f(x)=3x+4
g(x)=2x^2+3
g(f(x))=
18x^2+48x+35
Find the inverse of
f(x)=root(3)(x+2)
f^-1(x)=x^3-2
Use your calculator to give me decimal approximation to the nearest three decimal places of :
root(3)((1432)^2)+root(4)((15)^2)
130.919
Simplify the following using rational exponents to the smallest possible root:
(x^(4/3)y^(-1/2))/(x^(-1/4)y^(1/3))
(x^(19/12))/(y^(5/6))
Find all the zeros of
f(x)=x^3-2x^2+4x-8
x=2, 2i, -2i