SOLUTION: 1.Given f(x) = 5x+4 and g(x)= 3x-8: find f g 2.Find the distance between the pair of points (-1, -4) and (-5, -7)

Algebra ->  Functions -> SOLUTION: 1.Given f(x) = 5x+4 and g(x)= 3x-8: find f g 2.Find the distance between the pair of points (-1, -4) and (-5, -7)       Log On


   

Question 176640This question is from textbook College Mathematics
: 1.Given f(x) = 5x+4 and g(x)= 3x-8: find f g
2.Find the distance between the pair of points (-1, -4) and (-5, -7)
This question is from textbook College Mathematics

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+5x%2B4
g%28x%29=+3x-8
f%28g%28x%29%29+=+5%283x-8%29%2B4
f%28g%28x%29%29+=+15x-40%2B4
f%28g%28x%29%29+=+15x-36
.
.
.
The distance formula is,
D=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29
D=sqrt%28%28-1-%28-5%29%29%5E2%2B%28-4-%28-7%29%29%5E2%29
D=sqrt%28%284%29%5E2%2B%283%29%5E2%29
D=sqrt%2816%2B9%29
D=sqrt%2825%29
D=5