Let $f(x)= -4x+3$ and $g(x)= 1/(x+2)$ , how do you evaluate f(g(x)) and g(f(x)) for x?

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Answer 1 · 2015-08-07T12:51:10

Redefine the equations as follows:

$g(f(x))=1/(f(x)+2)=1/(5-4x)$

$f(g(x))=-4g(x)+3=3-4/(x+2)$

You can then evaluate the new functions using these definitions.

Let f(x)= -4x+3 f(x)= -4x+3 and g(x)= 1/(x+2)g(x)= 1/(x+2), how do you evaluate f(g(x)) and g(f(x)) for x?