Question

Si:

F(x) = 4x + 2

g(x) = x + a

Halla el valor de a.

si : F(g(3)) = g(F(a −1))​

Answer 1

Respuesta:

a = 16

Explicación paso a paso:

Datos:

F(x) = 4x + 2

g(x) = x + a

Hallar g(3)

g(x) = x + a

g(3) = 3+a

Hallar F(a −1)

F(x) = 4x + 2

F(a −1) = 4(a-1)+2

F(a −1) = 4a -4 +2

F(a −1) = 4a -2

Hallar F(3+a)

F(x) = 4x + 2

F(3+a) = 4(3+a)+2

F(3+a) = 12 +4a +2

F(3+a) = 4a + 14

Hallar g(4a -2)​

g(x) = x + a

g(4a -2) = (4a -2) + a

g(4a -2) = 5a -2

Hallar a

F(g(3)) = g(F(a −1))​

F(3+a) = g(4a -2)​

4a + 14 = 5a -2

4a - 5a = -2 - 14

-a = -16

a = 16