jadecom04 jadecom04
  • 15-06-2020
  • Mathematics
contestada


Evaluate composite functions
f(x) = 3•3.x+ 10 + 2
g(x) = x^2- 7x
(fog)(10)

Evaluate composite functions fx 33x 10 2 gx x2 7x fog10 class=

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a5904640
a5904640 a5904640
  • 15-06-2020

(f o g) (10)

Can be written f(g(10))

So let's get g(10) first

g(10) = 10² - 7.10 = 100 - 70 = 30

So let's put the answer in f(x)

f(g(10)) = f(30)

[tex]f(30) = 3 . \sqrt{3.30 + 10}+2[/tex]

[tex]f(30) = 3 . \sqrt{90 + 10}+2[/tex]

[tex]f(30) = 3 . \sqrt{100} +2[/tex]

[tex]f(30) = 3.10+2[/tex]

[tex]f(3)= 32[/tex]

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kaylawells692 kaylawells692
  • 15-06-2020
the answer for this is 32
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