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WorksheetsInverse/Logs
Total questions: 24
Worksheet time: 1hrs 23mins
Quinten and his sister Kelsey always make a habit of undoing each other’s work. If Kelsey folds the laundry, Quinten unfolds it. If Quinten rakes the leaves in the yard, Kelsey “unrakes” them! While working on her math homework, Kelsey wrote the following equations. Help Quinten undo this equation by finding the inverse equation.
y = 3x − 2
y=(x+2)/3
y=x+0.6667
y=(x-2)/3
y=x-0.6667
Find the inverse of the equation above:
y= 4x-1
y=x/4+1
y=x/4-1
y=4x-0.25
Given the function above:
What is the domain?
x >= 1
x > -1
y >= 1
x >= 0
Give the function above
What is the range?
y > 0
y >= 2
y >= 5
x >= 0
What does the graph of the equation above look like?
Determine the equation for f−1(x), that is, the inverse of f(x).
f-1(x)= x+5
f-1(x)= (x-2)2+1
f-1(x)= (x-2)2-1
f-1(x)= (x+2)2+1
Use the definition of logarithms to compute each of the following without using a calculator
log8(64)
1
2
3
4
Use the definition of logarithms to compute each of the following without using a calculator
log9(x)=1/2
x=____
3
4.5
18
81
log3(34) = x
x=
81
4
3
27
What does x =_____
1000
40
3.1415
4
Change to exponential form.
loga2 = 5
a2 = 5
52 = a
a5 = 2
25 = a
Evaluate.
log28
2
3
4
8
Evaluate.
log3(1/9)
3
-3
2
-2
Is f-1(x) a function?
f(x) = 1/4x - 7
What is the FIRST step I need to take to solve for x in the following equation?
Add 9 to both sides
Take the square root of both sides
Divide both sides by 49
Multiply both sides by 9
The functions f(x), g(x), and h(x) are defined.
f(x) = 6x,
g(x) = x2 + 3x +7,
h(x) = 2x2+10,
Calculate f(a + b).
f(6x)
2a+2b
a+2b
6a+6b
Are the following inverse functions?
Yes
No
Use the functions below to find h(g(x)).
h(x) = x2+5
g(x) = 3x
h(g(3x)
3x2
3x2 + 15
g(fx))
What is the inverse function of a quadratic (x2)?
A square root function
2x
Another quadratic
A linear function
The function g(x) is defined below.
g(x) = 2x+5
What is g(a+b)?
g(a)
4ab+5
4a+4b+5
2a+2b+5
