Question

calcule a função composta g(h(x))
a) g(u)= (2u+0)² , h(x)= x-5
b)g(u)= (u-1)³ +2u² , h(x) = x+1

Answer 1

$a)g[h(x)]=[2(x-5)+0]^2 \\ g[h(x)]=(2x-10)^2 \\ g[h(x)]=4x^2-40x+100$

$b) g[h(x)]=[(x+1)-1]^3+2(x+1)^2 \\ g[h(x)]=x^3+2(x^2+2x+1) \\ g[h(x)]=x^3+2x^2+4x+2$