Functions HELP!!!

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Functions HELP!!!

Mathematics
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Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below: f(x) = 2x + 21 g(x) = x − 24 A.) −27 B.) −21 C.) 6 D.) 48
  • phi
(f + g)(3) is short for f(3) + g(3) can you find f(3) ?

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Other answers:

f(x) = 27
  • phi
you mean f(3)= 27 (f(x) would be the formula 2x+21)
  • phi
now find g(3)
Yes and g(3) = -21
  • phi
now add
C.) 6
I need help with some more, if you don't mind.
Given the functions f(x) = 10x + 25 and g(x) = x + 8, which of the following functions represents f[g(x)] correctly? f[g(x)] = 10x + 33 f[g(x)] = 10x2 + 33 f[g(x)] = 10x + 105 f[g(x)] = 10x2 + 105
  • phi
yes the other way to do this is first add f(x)+g(x) like this: 2x + 21 + x-24 and we get (f+g)(x)= 3x - 3 now figure out (f+g)(3) = 3*3-3 = 9 - 3 = 6
  • phi
starting with f(x) = 10x + 25 we can say f(a) = 10a+25 f(b*b)= 10*b*b+25 f(xyz)= 10*xyz+25 following that pattern, what is f( g(x) ) ?

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