Inverse Functions
Find the inverse of f(x)= x+2
What is f-1(x)= x-2
Write the expression as a sum, difference, or constant multiple of logarithms: log10 zw/yx
log10 zwy-1x-1= log z + log w + log y-1 + log x-1
What is log z + log w - log y - log x
Solve with Synthetic Division.
(x2+x+1)/(x+1)
What is x2+ 1/(x+1)
Evaluate the limit.
lim x--->∞ 5x4/(2x-5)
What is ∞
Find f'(x) of the following: f(x)= x2-3
What is f'(x)=2x
Find the inverse of f(x)= (25-x)/5
What is f-1(x)= -5x+25
Write the expression as a sum, difference, or constant multiple of logarithms: log10 8x
log (23) + log (x)
What is 3log 2 + log x
Solve with Synthetic Division
(4x3+5x2-3x+8)/(x-2)
What is 4x3+13x2+23x+ 54/(x-2)
Evaluate the limit.
lim x--->∞ 3x/(2x+5)
What is 3/2
Find f'(x) of the following: f(x)= 1/x2
What is f'(x)= -2/x3
Find the inverse of f(x)= (x+3)/(x-3)
What is f-1(x)= -(3x+3)/(1-x)
Write as a single logarithm.
4lnx-6lny
ln x4 - ln y6
What is ln x4/y6
Solve with Long Division.
(2x3-5x2-8x+15)/(x-3)
What is 2x2+x-5
Evaluate the limit.
lim x--->∞ 7/9x
What is 0
Find f'(x) of the following: f(x)= 2x2-5x
What is f'(x)=4x-5
Find the inverse of f(x)=(x-4)3+5
What is f-1(x)= 3√x-5 +4
Write as a single logarithm.
1/2 log10 x + 5 log10 z
log10 x1/2 + log10 z5
What is log10 √x z5
Solve with Long Division.
(5x4+7x3+4x2+5x+10)/(x2+1)
What is 5x2+7x+1 - (2x+11)/(x2+1)
Evaluate the limit.
lim x--->∞ 8xsinx
8x/1
What is DNE
Find f'(x) of the following: f(x)= x3-3x with the point (5,2)
What is f'(x)=3x2-3 = 3(5)2-3= 72
Find the inverse of f(x)=(-9x-9)/(x+8)
What is f-1(x)= (-8x+9)/(9+x)
Write as a single logarithm.
7[lnx + ln(x+6)]- 1/2ln(y-6)
7[ln x(x+6)]-ln(y-6)1/2= 7[ln(x2+6x)]-ln(y-6)1/2
= ln (x2+6x)4/(y-6)1/2
What is ln (x2+6x)4/√y-6
Solve with Long Division.
(5x5-4x4+3x3+x2-10)/(x2-x+2)
What is 5x3+x2-6x-7 + (5x+4)/(x2-x+2)
Evaluate the limit.
lim x--->∞ (5-8/x2)
What is 5
Find f'(x) of the following: f(x)=2-4x-2 with the point (5,1)
f'(x)= lim h--->0 8x+4h/x2(x+h)2= 8(5)+4(0)/52(5+0)2= 40/625
What is 8/125