anonymous
  • anonymous
Complete the table given that h(x) = f(g(x)) x f(x) g(x) h(x) 0 1 2 3 1 9 0 1 2 ? 1 9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DanJS
  • DanJS
the missing value will be f(2) that value is on the table somewhere already
anonymous
  • anonymous
so would it be 0?
DanJS
  • DanJS
h(x) = f [ g(x) ] compound function, x--->g(x)--->f(x) ------>h(x) starting with a value for x you can get g(x), then f(x) is evaluated at that value for g(x) do you understand the nested function thing?

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anonymous
  • anonymous
yes
DanJS
  • DanJS
look at row 2 x=1, g(1) = 0, f(g(1)) = f(0) = 1 [from row 1 when x=0]
DanJS
  • DanJS
notice that matches h(1)
DanJS
  • DanJS
to figure f(x) when x is 2 need to find where g(x) = 2, and use that value in f(x)
DanJS
  • DanJS
g(x) = 2 when x=0
anonymous
  • anonymous
yea so do you plug in 0 in f(x) now?
DanJS
  • DanJS
f(0) is 1,
anonymous
  • anonymous
huh ok that makes some sense now thank you!
DanJS
  • DanJS
h(2) = 9 f [ g(2)] = f [ 1] = 9
anonymous
  • anonymous
im sorry, but im lost again, how does finding that help get f(2)?
DanJS
  • DanJS
k... th emissing value is f(x) at x=2
DanJS
  • DanJS
but f(x) is defined in terms of g(x)
DanJS
  • DanJS
so to get f(2), you need g(x) = 2
anonymous
  • anonymous
which is 0?
anonymous
  • anonymous
and then what would you do?
DanJS
  • DanJS
i need sleep.. lol here
anonymous
  • anonymous
ahhh np man go ahead
DanJS
  • DanJS
need f(x) = f(2), x=2
DanJS
  • DanJS
f[ g[x]] start with x=2 g(2) = 1 f[g(2)] = f[1] = 9 so f(2) = 9
DanJS
  • DanJS
which should be h(2), good both are 9
anonymous
  • anonymous
well alright then, thank you and have a good night!
DanJS
  • DanJS
welcome, sorry took so long
DanJS
  • DanJS
want f when x=2 figure h(2) = 1 h(x) = 1 when x=2
DanJS
  • DanJS
so f(g(2)) = f(1) f(1) = 9 when x=1
DanJS
  • DanJS
so f(2) = 9
anonymous
  • anonymous
alright thanks!

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