Solving/evaluating functions
x2+8x+7=0
x=-7 x=-1
Expand the expression: log((2x+1)5(z-4)3/(y2+6)2)
5log(2x+1)+3log(z-4)-2log(y2+6)
f(x)= x2+7x-9
(-infinity, infinity)
5x-9 < 16
x < 5
f(x)=x3 shifts up 2 and left 3
What is g(x)
g(x)= (x+3)3+2
x2-3x+12=0
DNE
f(x)=5x3+12
What's f -1(x)?
f -1(x)= (y-12/5)1/3
f(x)= sq root of 7x+21
x greater than/equal 3
2x+3<8x-2
x>5/6
f(x)= x2 reflects across the x axis, horizontally stretches by factor of 3
g(x)= -3x2
x4-2x3-15x2=0
x=0 x=0 x=-3 x=5
Find equation of a line passing through (4,1) and is perpendicular to the line y= 1/2x-6
y=-2x+9
f(x)= x+4/6-x
6 greater than/equal to x
6<9x-9/3<14
3<x<51/9
f(x)= log2(x) reflects across y axis, shifts right 4 and down 6
What is D, R, and VA
g(x)= log2(-x-4)-6
D: (4, infinity)
R: (-infinity, infinity)
VA: x=4
ln(e-3)
x=-3
Solve the logarithmic equation: log4(x-4)+log4(x+1/2)=2
x=6 x=-3
x2+9x-1/sq root x-3
x=3
3<(4x-2/6)1/2<7
13<x<73
f(x)= 3x horizontal stretch by factor of 2, down 8, reflects across x axis
What is D, R, and HA?
g(x)= -32x -8
D: (-infinity, infinity)
R: (-infinity, -8)
HA: y=-8
logx(27)=3/2
x=9
f(x)=6x+4/6x
f -1(x)= log6(4/y-1)
f(x)= 5x-10/x2+7x+10
(-infinity, -5) and (-5, -2) and (-2, infinity)
-20-x<3x+4<19-2x
-6<x<3
Graph the polynomial: f(x)= x(x+3)(x-7)
hint: must find zeros, y int, and test points
Picture on phone