bharvey10 bharvey10
  • 21-12-2020
  • Mathematics
contestada

Find (f•g)(1)
f(x) = x^2-1
g(x) = sqrt. X

Find fg1 fx x21 gx sqrt X class=

Respuesta :

oeerivona oeerivona
  • 26-12-2020

Answer:

The correct option is;

a. 0

Step-by-step explanation:

The given parameters are;

f(x) = x² - 1

g(x)  = √x

When carrying out operations in composite functions, we proceed as follows

[tex](f \circ g)(x) = f(g(x)) = f(\sqrt{x} ) = (\sqrt{x} )^2 -1 1 = x - 1[/tex]

Therefore, we have;

[tex](f \circ g)(1) = f(g(1)) = f(\sqrt{1} ) = (\sqrt{1} )^2 -1 1 = 1 - 1 = 0[/tex]

Therefore;

[tex](f \circ g)(1) = 0[/tex]

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