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How do you find f(f(7)) given $f (x) = 4 x + 3$ $f(x)=4x+3$ and $g (x) = x - 2$ $g(x)=x-2$ ?

1 Answer

May 1, 2017

$f (f (7)) = 127$ $f(f(7))=color(green)(127)$

Explanation:

Given $f (x) = 4 x + 3$ $f(color(red)x)=4color(red)x+3$
then
$XXX f (7) = 4 \times 7 + 3 = 31$ $color(white)("XXX")f(color(red)7)=4xxcolor(red)7+3=31$

So
$XXX f (f (7)) = f (31) = 4 \times 31 + 3 = 127$ $color(white)("XXX")f(color(red)(f(7)))=f(color(red)31)=4xxcolor(red)31+3=127$

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