phaniemariem phaniemariem
  • 24-12-2020
  • Mathematics
contestada

Complete the table.
y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u

Complete the table y fgx u gx y fu y 8 tanitx5 u I y 8 tan u class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-12-2020

9514 1404 393

Answer:

  1. u = x +14
  2. u = πx^5

Step-by-step explanation:

I find it easiest to match the patterns. You could also work this by finding inverse functions.

1.

  [tex]y=u^{-1/2}\\\\y=\dfrac{1}{\sqrt{u}}=\dfrac{1}{\sqrt{x+14}}\\\\u=x+14 \qquad\text{match radical contents}[/tex]

__

2.

  [tex]y=8\tan{u}=8\tan{(\pi x^5)}\\\\u=\pi x^5 \qquad\text{match tangent arguments}[/tex]

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