Find f compose g and g compose f fx x 6 gx x2 a f compos

Find f compose g and g compose f. f(x) = x + 6 , g(x) = x2 (a) f compose g Incorrect: Your answer is incorrect. (b) g compose f Incorrect: Your answer is incorrect. Find the domain of each function and each composite function. (Enter your answers using interval notation.) domain of f domain of g domain of f compose g domain of g compose f

Solution

f(x) = x + 6 , g(x) = x^2

Find f compose g and g compose f

f compose g = ( fo g)(X) ; Plug x= g(x)

(f o g)(x) = x^2 +6

Domain : ( -inf , +inf)

g compose f = (g o f)(x) ; Plug x= f(x) in g(x)

(g o f)(x) = (x+6)^2

Domain : ( -inf , +inf)