geno3141

f(x) = 4x - 3           g(x) = 8x - 1

(fºg)(x)  =  f( g(x) )        Place g(x) into the f(x) formula every place there is an x.

              = f( g(x) ) = f( 8x - 1 )  =  4( 8x - 1 ) - 3

                                                 = 32x - 4 - 3

                                                 = 32x - 7

How fast are they going?

I don't understand "After 400 land miles"; is that for one of them, for both of them?

2^5  =  √4^5  =  [ (4)^(1/2) ] ^ 5           The square root is the one-half power. 

If you have an exponent to an exponent, multiply the exponents:  (1/2) x 5  =  5/2

     = 4^(5/2)

You can use the calculator at this site to get this answer.

What is the question?

  sin(A) = 12/13 in quadrant 2            tan(B) = -4/3 in quadrant 4

Since A is in Q2, the missing side is -5 and cos(A) = -5/13 and tan(A) = -12/5

tan(A+B) = (tan(A) + tan(B) / (1 - tan(A)tan(B))

   =  (-12/5 + -4/3) / (1 - (-12/5)(-4/3))  =   56/33

Assuming that he can run at the same speed, he can run twice as far in twice the time.

Question #1:  sin(A) = 12/13 in quadrant 2         sin(B) = -7/25 in quadrant 4

Since A is in Q2, the missing side is -5 and cos(A) = -5/13 and tan(A) = -12/5

Since B is in Q4, the missing side is 24 and cos(B) = 24/13 and tan(B) = -7/24

tan(A-B) = (tan(A) - tan(B) / (1 + tan(A)tan(B))

   =  (-12/5 - -7/24) / (1 + (-12/5)(-7/24))  =   -253/204

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Question #2:  cos(A) = 12/13 in quadrant 1         sin(B) = 8/17 in quadrant 2

Since A is in Q1, the missing side is 5 and sin(A) = 5/13 and tan(A) = 5/12

Since B is in Q2, the missing side is 15 and cos(B) = -15/17 and tan(B) = -8/15

tan(A+B) = (tan(A) + tan(B) / (1 - tan(A)tan(B))

   =  (5/12 + -8/15) / (1 - (5/12)(-8/15))  =   -21/220

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Question #3:  sin(A) = 12/13 in quadrant 2            tan(B) = -4/3 in quadrant 4

Since A is in Q2, the missing side is -5 and cos(A) = -5/13 and tan(A) = -12/5

tan(A+B) = (tan(A) + tan(B) / (1 - tan(A)tan(B))

   =  (-12/5 + -4/3) / (1 - (-12/5)(-4/3))  =   56/33

What is meant by "an"?

What is "an-an-1=1/99"?

And, what is the question?