corrina79 corrina79
  • 21-05-2021
  • Mathematics
contestada

If f(x) = x2, and
g(x) = x – 1, then
g(f(x)) = x[? ] +[ ]

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-05-2021

Answer:

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

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) =x -1[/tex]

Required

[tex]g(f(x))[/tex]

We have:

[tex]g(x) =x -1[/tex]

Replace x with f(x):

[tex]g(f(x)) = f(x) -1[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]g(f(x)) = x^2 -1[/tex]

Hence:

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

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