Question

RESPONDAM POR FAVOR ... se f(x)=2x-10 determine a funçao g(x) tal que f(g(x)) = 4x

Answer 1

se f(x)=2x-10 determine a funçao g(x) tal que f(g(x)) = 4x

f(x)=2x-10

f(g(x)) = 4x


f(g(x)) = 2g(x)-10

 2g(x)-10 =  4x
 2g(x) =  4x + 10
     
 g(x) = 2x + 5

Answer 2

f(x)=2x-10
g(x)=4x
f(g(x))= 2.(gx)-10=4x
f(g(x))= 2.(gx)=4x+10
f(g(x))= (gx)=4x+10
                         2

 (gx)=2x+5

Comprovando:

Colocando gx no lugar de x:

F(gx)= 2(2x+5)-10
F(gx)= 4x+10-10
F(gx)= 4x