Unit 1
Find the inverse of the following: f(x)=(x+1)3+2
f-1(x)=3√(x-2) -1
Let the graph of g be a translation 4 units left and 1 unit down, followed by a reflection in the y-axis of the graph of f(x)=2x2+x. Write a rule for g.
g(x)=2x2-17x+35
(-√8)/(√-6)
(2i√3)/(3)
factor completely: 56x3y-70x2y2+21xy3
7xy(2x-y)(4x-3y)
x=1, x=(9/49)
Find the domain of h(x) = √4-x2
-2≤x≤2
Find the focus, directrix, and axis of symmetry of the equation y=(-1/28)(x-6)2+10
F(6,3)
D y=17
AoS x=6
x2≤15x-34
((15-√89)/2)≤x≤((15+√89)/2)
Divide 4x4+5x-4 by x2-3x-2
4x2+12x+44+ ((161x+84)/(x2-3x-2)
2(1250)1/4-5(32)1/4
0
solve for x: |2x+5|+4≥1
All real numbers
Find the equation of a line in intercept form with x-intercepts of 7 and 10 and passes through the point (-2,27)
y=(1/4)(x-7)(x-10)
Solve algebraically for x: (x2-x)2-18(x2-x)+72=0
x=4, x=-3, x=3, x=-2
What is the value of k such that (-x4+5x2+kx-8)/(x-4) has a remainder of 0?
46
x=-6
If f(x)=3x+2, determine the value of f(f(1/x))
(9/x)+8
Find the equation of a parabola that opens to the right with a directrix of x=(-7/12) and has a vertex at the origin.
x=(3/7)y2
t2-40t+400=300
20±10√3
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the zeros -5 and 4+√2
f=x3-3x2-26x+70
8(x+3)-3/5-16=-15
x=29
Solve the system of equations.
x+2y-3z=11
2x+y-2z=9
4x+3y+z=16
(2,3,-1)
Write an equation of the parabola with a focus of (0, -8) and a directrix of y=8
y = (-1/32)x2
(4+2i)/((2/3)+(1/2)i)
(132/25)-(24i/25)
f(x)=3x4+x3+3x2+12; horizontal shrink by a factor of (1/3) and a translation 8 units down followed by a reflection in the y-axis.
g(x)=243x4-27x3+27x2+4
5((1/2)x)-2/3=20
x=±(1/4)