COMPOSITION ON FUNCTION

Question 1

IS THE PROCESS OF COMBINING TWO FUNCTIONS WHERE ONE FUNCTION IS PERFORMED FIRST AND THE RESULT OF WHICH IS SUBSTITUTED IN PLACE OF EACH X IN THE OTHER FUNCTION.

Answer 1

COMPOSITION OF FUNCTION

Question 2

DENOTED BY fog READ AS …

Answer 2

F COMPOSED WITH G

F CIRCLE OF G

Question 3

DENOTED BY (fog)(x) = …

Answer 3

f[g(x)]

Question 4

(fog) (x)
(fog) (x) = f[g(x)] = f[x2 + 4]
(fog) (x) = 4x - 5
(fog) (x) = 4(x2 + 4) -5
(fog) (x) = 4x2 + 16 - 5
(fog) (x) = 4x2 + 11

Answer 4

(gof) (x)
(gof) (x) = g[f(x)] = g[4x - 5]
(gof) (x) = x2 + 4
(gof) (x) = (4x - 5)2 + 4
(gof) (x) = 16x2 -40X + 25 + 4
(gof) (x) = 16x2 - 40x + 29