If f(x)= 2 x +1 and g( x)= 3 x - 4, find f (g (x ) and g( f(x)).

see explanation

Step-by-step explanation:

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x))

= f(3x - 4)

= 2(3x - 4) + 1

= 6x - 8 + 1

= 6x - 7

To evaluate g(f(x)) substitute x = f(x) into g(x)

g(f(x))

= g(2x + 1)

= 3(2x + 1) - 4

= 6x + 3 - 4

= 6x - 1

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