More math help guys?? SOlve these promblems

1. You own 6 cassettes and are taking 4 on vacation. In how many ways can you choose 4 cassettes from 6?

A. 1

B. 720

C. 60

D. 24

2. A single standard six-sided die is rolled. Find the probability of rolling a number greater that 3.

A. 1

B. 1/2

C. 1/3

D. 2/3


If h(x)= 3x^2 find h(h(2))

a. -432

b. 12

c. 432

.d. 1296

Let f(x)= x^2-2 and g(x)= 3x^2. Find g(f(x))

WHat is the inverse of this equation f(x)= 3x+1/3

1, Combination 6c4 = 6!/4!2! = 15
2, P(4,5,6) = 3/6 = 1/2 = 50%
3, h(2)= 3(2)^2=12, h(12) = 3(12)^2 = 3(144) = 432 (c)

Let f(x)= x^2-2 and g(x)= 3x^2. Find g(f(x))

g(f(x)) = 3(x^2-2)^2 = 3(x^4 - 4x^2 +4) , then distribute the 3 on the outside, I did the hard part already :)

WHat is the inverse of this equation f(x)= 3x+1/3

solve x = 3y +1/3
3y = x - 1/3
y = x/3 - 1/9 (divide all by 3)
therefore f^-1(x) = x/3 - 1/9

as a teacher I know I shouldn't be doing your homework, but everyone deserves a break now and then

ya, I can't understand how the right answer isn't there for part one. But order shouldn't matter on how you taker 4 out of 6. So I stand by my answer :)

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1)
D
2)
3/6 = 1/2 so B
3)
3(3(2)^2)^2 = 432 so C
4)
3(x^2-2)^2 = 3 x^4-12 x^2+12
5)
1/9 (3 x-1)

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