charlieroselh
charlieroselh charlieroselh
  • 03-10-2020
  • Mathematics
contestada

7. If g(x) = -6x + 5 and h(x) = -9x - 11, find (goh)(x).​

Respuesta :

savannahhurst07
savannahhurst07 savannahhurst07
  • 03-10-2020
The 'o' notation means function composition. In this case
(g o h)(x) = g(h(x))

The inner function h(x) goes first. Replace x with 25 and simplify to get
h(x) = sqrt(x)
h(25) = sqrt(25)
h(25) = 5

Therefore,
(g o h)(25) = g(h(25)) = g(5)

Now we compute g(5)

g(x) = x-3
g(5) = 5-3
g(5) = 2
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