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Functions f and g are invertible functions.f(x) = 4x – 3 and g(2)1-2 +3Answer two questions about these functions.Write a simplified expression for f(g(x)) in terms of x.f(g(x)) =Are functions f and g inverses?19Choose 1 answer:АYesBNo

Functions f and g are invertible functionsfx 4x 3 and g212 3Answer two questions about these functionsWrite a simplified expression for fgx in terms of xfgx Are class=

Respuesta :

Given the two functions:

[tex]\begin{gathered} f(x)=4x-3 \\ g(x)=\frac{1}{4}x+3 \end{gathered}[/tex]

To find f(g(x)):

[tex]\begin{gathered} f(g(x))=f(\frac{1}{4}x+3)=4(\frac{1}{4}x+3)-3 \\ =x+12-3 \\ =x+9 \end{gathered}[/tex]

Since f(g(x)) is not equal to x, therefore the two functions are not inverse of each other.

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