This question requires the concept of composite functions.
It is pretty easy :D
For example:-
f( g(x) ) -> Replace all x in f(x) with the entire equation i.e. g(x), as shown above.
Simplify the equation to get your final answer.
3. (8 points, 4 points each) f(x)-2x - 1 and g(x)-3x + 4, are functions from...
please answer ❤️ For f(x) = 2x and g(x)= x + 2, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3) a. (fog)(x) = (Simplify your answer.) b. (gof)(x) = 0 (Simplify your answer.) C. (fog)(3) = d. (gof)(3)=0
2. let f(x) = 2x-5 and g(x) = x² +3. Find each of the following. (8 pts) - (3) a) b) (g-fcio c) (gof)(0) 2) (fog)x)
Find fog(x), gof(x), and g-1 (x) where f(x) = 2x2 and g(x) = x+3 are functions from R to R.
Find (fog)(x) and (gof)(x) and the domain of each f(x) = x²-6, g(x) = 2x - 4 (fog)(x) = _______ (Simplify your answer) (gof)(x) = _______ (Simplify your answer.) The domain of (fog)(x) is _______ (Type your answer in interval notation.) The domain of (gof)(x) is _______ (Type your answer in interval notation.)
Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 3x 7, g(x) = x2 + x (a) fog(f o g)(x) = _______ domain = _______ (b) gof (g o f)(x) = _______ domain _______ (c) fof (fof) (x) = _______ domain = _______ (d) gog (g o g)(x) = _______ domain _______
Find the domain of each composite function fog , gof if f(x) =3x+1, g(x)=x2
For f(x) = 8x - 2 and g(x) = x+2 8 find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(5); d. (g of)(5) a. (fog)(x) = (Simplify your answer.) b. (gºf)(x) = (Simplify your answer.) C. (fog)(5) = [] d. (g of)(5) =
For f(x)=x2 +2 and g(x)=x2-3, find the following functions. a. (fog)(x); b. (gof)(x); C. (fog)(3); d. (gof)(3) a. (fog)(x)=0 (Simplify your answer.) b. (gof)(x)=0 (Simplify your answer.) c. (fog)(3)=0 d. (gof)(3)=
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3 Find: - (3 marks) and express in its simplest form g[h(x)] = find f'(x) b) If f(x) = = 2x - 1 3x + 4 (4 marks)
Consider the functions f(x) – 2x + 7 and g(x) = (x+3. Determine each of the following. fog(x) = Give the domain of fo g(x). go f(x) = Give the domain of go f(x).