Rad Radicals
Solve All the Radicals
Infinite Inverse Functions
Graphs Galore
Compose those Functions
100
Evaluate the expression WITHOUT a calculator:
16^(3/2)
64
review #4
WORK
sqrt(16)^3= 4^3=64
100
Solve for x:
sqrt(5x+1) = 6
x = 7
Not on Review
5x+1 = 62
5x = 35
x = 7
100
Find the inverse function of
y = 4x - 1
f^-1(x)=x/4+1/4
Review #18
100
What is the domain and range of
y = (x+1)^(1/2) + 8
Review #1
Domain:
[-1, oo)
Range:
[8, oo)
100
Compute f(x) - g(x) when,
f(x) = 3x^2+1 ; g(x) = x + 4
3x^2 - x - 3
Review #15
200
Solve for x:
(x-5)^4 = 256
x = 1, 9
Review #6
200
Solve for x:
-4sqrt(x)-6=-20
x = 49/4
Review #14
200
Find the inverse of
y = 7x - 6
f^-1(x) = x/7+6/7
Not on Review
200
Complete the Table (use x= -15, -7, 1) for
f(x) = -3root(3)(x+7)-6
Review #3
200
Compute f(x) + g(x) when,
f(x) = 3x^2+1 ; g(x) = x + 4
3x^2 + x + 5
Not on Review
300
A bowling ball has a surface area of 232 square inches. Find the radius (estimate to two decimals) of the bowling ball, given that
SA = 4pir^2
r = 4.30in
Review #8
232= 4(pi)r2
18.46 = r2
4.29 = r
300
Solve for x:
(3x+5)^(7/3)+22= 150
x = 1
Review #13
300
Find the inverse of
f(x) = x^3-2
f^-1(x)= root(3)(x+2)
Review #19
300
Sketch
y = -4sqrt(x-5)+1
Review #2
300
Compute f(x) * g(x) when,
f(x) = 3x^2+1 ; g(x) = x + 4
3x^3 + 12x^2+x+4
Review #16
400
Simplify the expression (give exact answer and estimated calculator answer):
11^(2/5)/11^(4/5)
Exact Answer:
1/11^(2/5)
Estimated Answer: 0.38
Review #5
400
Solve for x (check for extraneous solutions:
sqrt(21x+1)= x+5
x = 3, 8
Review #12
400
Find the inverse of
f(x) = x^4 - 9
f^-1(x) = root(4)(x-9)
Review #20
400
What is the domain and range of
y = -4sqrt(x-5) +1
Review #2
Domain:
[5,oo)
Range:
(-oo,1]
400
Compute f(g(x)) when,
f(x) = 3x^2+1 ; g(x) = x + 4
3x^2+24x+49
Review #17
500
Simplify the Expression:
root(3)(81x^4y^6z^10)
Answer:
3xy^2z^3root(3)(3xz)
Review #10
root(3)(3^3 3x^3xy^3y^3z^3z^3z^3z)=3xyyzzzroot(3)(3xz)
500
Solve for x (check for extraneous solutions):
x - 10 = sqrt(9x)
x = 25
Not on Review
500
Find the inverse of
f(x) = 9/2 x^3-6
f^-1(x)=root(3)(2/9x-6/3
Not on Review
500
Graph
h(x) = -3root(3)(x+7)-6
Review #1
500
Compute f(g(x)) when,
f(x) = sqrt(x); g(x) = 9x^(1/3)
3x^(1/6)
Not on Review