Question

dada as funçoes f e g sendo f(x)=x+x+1 e g(x)=3x-8 calcule f(g(x)) e g(f(5))​
​

Answer 1

Explicação passo-a-passo:

f(x)=x² + x + 1

g(x)=3x-8

f(g(x)) = f ( 3x-8 ) = ( 3x-8 ) ²+ ( 3x-8 ) + 1

f( 3x-8 ) = 9x² -2.3x.8 + 64 + 3x -8 + 1

f( 3x-8 ) =9x² - 48x +3x + 55

f( 3x-8 ) = 9x² - 45x + 55

g(f(5)) = g(5² + 5 + 1) = 3x - 8

g(31) = 3.31 - 8

g(31) = 93 - 8

g(31) = 85