If $f (x) = 2 x - 1$ $f(x) = 2x-1$ and $g (x) = 4 x$ $g(x) = 4x$ , what is f[g(3)] ?

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Answer 1 · 2016-02-05T22:05:27

$23$ $23$

By definition of compositions of functions,

$(f \circ g) (x) = f [g (x)]$ $(f@g)(x)=f[g(x)]$

$= f (4 x)$ $=f(4x)$

$= 8 x - 1$ $=8x-1$

$therefore(f@g)(3)=8(3)-1$

$=23$

If f(x) = 2x-1f(x)=2x−1f(x) = 2x-1 and g(x) = 4xg(x)=4xg(x) = 4x, what is f[g(3)] ?