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WorksheetsFinal Exam Review: Topic 5
Total questions: 150
Worksheet time: 9hrs 51mins
6√3-3√27
9√2
12√3
10√3
-3√3
Simplify.
13√3
10√30
13√6
11√3
Write the above expression in exponential form.
Write the above expression in exponential form.
Write the above expression in exponential form.
Rewrite x2/3 as a radical.
√x3
∛x2
2x3
3x2
Simplify √8⋅√12.
4√6
2√12
2√6
12√2
∛x⁷
y²⁄ ³
Simplify the expression:
5√2 / 10
√2 / 2
2√2
5√50 / 10
Simplify the radical expression:
128a3b4
8ab22a
2a8ab2
2ab64ab
64ab22a
Which function matches the graph?
A
f(x) = ∛(x + 3) + 2
B
f(x) = − ∛(x - 3) + 2
C
f(x) = ∛(x - 3) + 2
D
f(x) = ∛(x - 2) + 3
How can rewrite the following radical function to identify its transformations from the parent graph of f(x)=x
g(x)=64x+3
g(x)=8x+3
g(x)=8x+3
g(x)=x8+3
g(x)=−8x+3
How can rewrite the following radical function to identify its transformations from the parent graph of f(x)=x
g(x)=25x−75−7
g(x)=5x−3−7
g(x)=−5x+3+7
g(x)=5x75−7
g(x)=25x−3−7
Identify the Range
(- ∞, -2 ]
[ -2, ∞ )
(-∞, 0)
[ 0, ∞)
Hint: Use a scratch graph to help you visualize things.
Which function matches the graph?
A
f(x) = ∛(x + 3) + 2
B
f(x) = − ∛(x - 3) + 2
C
f(x) = ∛(x - 3) + 2
D
f(x) = ∛(x - 2) + 3
What is the Range for the graph?
A
2 ≤ y < ∞
B
− ∞ < y ≤ 3
C
3 ≤ y < ∞
D
− ∞ < y < ∞
Which function matches the graph?
A
f(x) = − ∛(x + 3) − 1
B
f(x) = − ∛(x - 3) − 1
C
f(x) = ∛(x + 3) − 1
D
f(x) = ∛(x - 1) + 3
Simplify the radical:
42
63
43
42
Simplify the radical:
2√24
4√6
2√6
24√2
4√4
Simplify:
7√3
Can't Simplify
6√15
6√3
Simplify :
8√6
8√12
12√6
12√12
√6 ⋅√6
Simplify the following radical:
√150
5√15
5√2
5√6
15√5
Simplify:
4√75
4√5
12√5
20√3
7√3
6√2 ⋅5√14
Simplify:
11√5
11√10
5√5
12√10
3a2×15a2
3a25
5a23
3a5a
18a4
Simplify the radical: 3√27
9
9√3
3√9
3
Simplify the radical: 10√20
5√20
20√5
4√5
40√5
Simplify the radical: 6√90
10√8
10√18
18√10
18√9
Simplify
4√75
4√5
12√5
20√3
7√3
1, 4, 9, 27, 81, 100
What is another name for the square root symbol?
Radicand
Radical
The house
It doesn't have a name
√10 ⋅ √45
√6 ⋅√6
Simplify
Simplify:
1/5
20/100
2/10
1/√25
Solve the equation and check for extraneous solutions.
3x+10=x+4
x = -2
x = -2, 3
x = -2, -3
x = -3
Solve the equation and check for extraneous solutions.
2x−x=−3
x = 1
x = 9
x = all real solutions
x = 9, 1
Solve the equation and check for extraneous solutions.
10−13x=x−4
x = 2, 3
x = -2, -3
x = -1, -6
No solution
Solve the equation and check for extraneous solutions.
5m=5
25
50
125
5
Solve the equation and check for extraneous solutions.
−6+6k=−3
9
18
486
54
Solve the equation and check for extraneous solutions.
11=2+90−v
9
82
-9
-82
Solve the equation and check for extraneous solutions.
v−5=23−v
-14
14
no solution
28
Solve the equation and check for extraneous solutions. 10=14r+2
102
12
98
7
Solve the equation and check for extraneous solutions. 4=20−x
20
-4
4
-10
Solve the equation and check for extraneous solutions. 6+6−15x=15
-5
5
10
25
Solve the equation and check for extraneous solutions. x=4x
-4
0, -4
4
0, 4
Solve the equation and check for extraneous solutions. x=4
16
-16
8
4
Solve the equation and check for extraneous solutions. x=6
36
12
6
-36
Solve the equation and check for extraneous solutions. q+2=8
100
66
64
62
Solve the equation and check for extraneous solutions. 2k+1=19
180
90
360
-180
Solve the equation and check for extraneous solutions. q+1=2
9
4
3
5
Solve the equation and check for extraneous solutions. p2−3p+36=p+3
6
3
−23
-3
Solve the equation and check for extraneous solutions. 12−3x=x−3
No solution
415
5
15
Solve the equation and check for extraneous solutions. 11−2x=x−1
12
6
4
no solution
Solve the equation and check for extraneous solutions. x2+1=x−7
no solution
−725
0
724
Find (f - g)(x)
5x2 + 3x
-3x2 - 13x
3x2 + 3x
-3x2 + 3x
Find (f + g) (x)
5x2 + 3x
4x2 + 3x
5x2 - 3x
4x2 - 40x
Find f(2).
-2
-18
24
6
If f(x)=3x2+4 and g(x)=−2x+2 ,
find (g+f)(−3) .
If f(x)=x+1 and g(x)=x2−1 ,
find the domain restriction on (gf)(x) .
x=−1
x=0
x=1
x=±1
If f(x)=x2−25 and g(x)=x−5 ,
find the quotient (gf)(0) , if it exists.
Find g(5)
3375
375
25
45
If f(n)=x2+1 and g(n)=2x−5 Find f(n)−g(n)
x2−2x+6
−x2+2x+4
−x2−2x−6
x2−2x−4
(f + g) (x)
5x2 + 3x
4x2 + 3x
5x2 - 3x
4x2 - 40x
If f(x)=x2+9 and g(x)=x−9 ,
Find f(x)−g(x) .
x2+x+9
x2−x+9
x2−x
x2−x+18
If f(x)=x2+5 and g(x)=2x3−1 ,
find (gf)(−3) .
If f(x)=3x2+7x and g(x)=2x2−x−1 ,
find (f+g)(x) .
11x2−1
5x4+6x2−1
5x2+6x−1
5x2+8x−1
Given f(x)=3x+4 and g(x)=2x+1 , match the correct rule to its new function.
6x2+11x+4
(f+g)(x)
x+3
(f−g)(x)
5x+5
(f⋅g)(x)
D: x=−21
(gf)(x)
6x+7
(f∘g)(x)
Given f(x)=2x2−9x+2 and g(x)=1−6x , what is (f−g)(x) ?
Given g(x)=1−6x and h(x)=x2−4 , what is (g⋅h)(x) ?
When f(x) = 9 - 3x and g(x) = 5x - 7
find f(x) + g(x).
14x - 10
-8x + 2
2x + 2
2x - 2
When f(x) = x2 + 9 and g(x) = x - 9,
find f(x) - g(x).
x2 + x + 9
x2 - x + 9
x2 - x
x2 - x + 18
When f(x) = x2 - 9
and g(x) = x + 3 ,
find f(x) / g(x).
x=−3
x=3
x=12
x=−6
f(x) = 4x + 8
g(x) = x + 3,
Find f(x) ⋅ g(x)
4x2 + 24
4x2 + 20x + 24
4x2 + 12x + 24
4x2 + 4x + 24
Given f(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))
-7x + 1
5x -1
-5x -1
5x + 1
f(n)= n2 + 4n
g(n)= - n - 5
Find f(n) + g(n)
n2 + 3n - 5
-n3 + 2n - 7
n3 + 3n - 3n
n2 - 3n - 5
g(x)= -3x+2
Find f(x)-g(x)
g(x) = x-9
Find f(x)-g(x).
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
Perform the indicated operation.
Complete the operation and evaluate.
Evaluate f(2):
f(x)=3x+1
7
9
11
13
h(x)=3x-1
Find g(h(x))
If f(x)=2x and g(x)=2x2−1 find g(f(x))
4x2−1
4x2−2
8x2−1
16x2−1
If f(x)=x2 and g(x)=x21 find (f∘g)(−1)
41
1
−1
−41
Find the inverse: f(x) = 3x + 2
f-1(x) = 2x + 3
f-1(x) = -3x + 2
f-1(x) = (x-2)/3
f-1(x) = (x-3)/2
Find the inverse
f-1(x) = 2x+16
f-1(x) = 2x-16
f-1(x) = 2x - 8
f-1(x) = x + 16
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
Find the inverse function
Find the inverse function
Find the inverse of f(x)=3x+2
f−1(x)=3x−2
f−1(x)=2x−3
f−1(x)=23x
f−1(x)=32+x
Find the inverse of f(x)=−5x−7
f−1(x)=−75x+7
f−1(x)=7x+5
f−1(x)=−5x+7
f−1(x)=−5+x7
Find the inverse of f(x)=3x+2
f−1(x)=3x−2
f−1(x)=2x−3
f−1(x)=23x
f−1(x)=32+x
Find the inverse of f(x)=12x−3
f−1(x)=12x+3
f−1(x)=12x−3
f−1(x)=3x+12
f−1(x)=3x−12
Find the inverse of f(x)=x2+5
f−1(x)=x−25
f−1(x)=5+x
f−1(x)=x−5
f−1(x)=x−5
Find the inverse of f(x)=x2−4
f−1(x)=x+16
f−1(x)=x−4
f−1(x)=x+4
f−1(x)=x+4
Find the inverse of f(x)=x−2
f−1(x)=x2−2
f−1(x)=x2+2
f−1(x)=(x+2)2
f−1(x)=(x−2)2
FInd the inverse of the function.
f(x)=23x−15
f−1(x)=−x−5
f−1(x)=3x+5
f−1(x)=315+2x
f−1(x)=32x−319
f(x) = 2x + 4 ?
