Question

Given f(x)=2x-5&g(x)=3x+4,solve for (fog)(x)

Answer 1

Answer:

fog= 2(3x+4)-5

=6x+8-5

=6x+3

Answer 2

$Given \: f(x) = 2x - 5\: and \: g(x) = 3x + 4$

$\red{ (fog)(x) } \\= f[ g(x) ] \\= f( 3x + 4) \\= 2(3x+4) -5 \\= 6x + 8 -5 \\= 6x +3$

Therefore.,

$\red{ (fog)(x) }\green { = 6x + 3}$

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