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Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).
A) (gºf)(x) = -3x2 - 3
B)(gºf)(x) = -3x2 + 3
C)(gºf)(x) = 3x2 + 3
D)(g. f)(x) = 3x2 - 3

Respuesta :

mirai123

Answer:

[tex](g\cdot f) = -3x^2-3[/tex]

Step-by-step explanation:

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

[tex]g(x) = -3[/tex]

The problem state to multiply the function [tex]f[/tex] and [tex]g[/tex] so the symbol seems to be incorrect.

We actually want to calculate

[tex]g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3[/tex]

Note

[tex]g\circ f(x)=g(f(x))=g(x^2+1)=-3[/tex]

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