Problem: 3 a. Find the domain of (fo g)(x) if f(x) = and g(x) 3x-1 %3D x+4 %3D 5x-2 ズー1

Q: If f(x)=3x-1 and g(x)=x³, which of the following is FALSE? (fog)(x)=3x³-1 O (fog)(x)=x³/3 +1…

A:

Q: Given that f(x) = 6x + 1 and g(x) = 8 - x² , calculate (a) f(g(0)) = (b) g(f(0)) = %3D %3D %3D %3D

A:

Q: fx)--x +x2 + g(x)%3D4X 16x

A: using difinite integral , area of the shadid region is given by ,A= ∫04f(x)-g(x) dx

Q: For f(x) = Vx+5 and g(x) = x + 8, the domain of x-9 x is?

A:

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: If f(x)=3x2-x+C and f(3)=18, what is the value of C?

A: Let's find.

Q: 31. Evaluate

A:

Q: Need help with this two part question please.

A:

Q: f(x) = x²+ax+b r+c

A:

Q: 3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

A:

Q: Determine f '0). f (x) =-r²²+5) A 1- 10r-3 B 3r2 D Sx* + 10x

A:

Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: Dat

A:

Q: 4. Find the inflection points of f(r) = x-4r + 18x2-6x+1

A: To determine the inflection of the given function.

Q: If f(x) = 3x + 3, g(x) = - 3x2 - 4x + 3, and h(x) = - 4x2 - 6, find g(0). %3D g(0) = (Simplify your…

A:

Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: if f(x)= x² + 1 and g(x)=2x then (gog)(2) is 15 4 8. O 17 2

A: Consider the given information: Let f(x)=x^2+1 and g(x)=2x To find g∘g(2).

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

A:

Q: А - (BUC) — | (А — В) UC (А — В) U (A — С) | О Оption 4 Оption 1 (А — В)n (A — С) (А — В — С)

A: 1. As by distributive property A - (B ∪ C) = (A - B) ∪ (A - C) Hence Answer: Option 1 (A - B) ∪ (A -…

Q: If f(x) = - 2x+ 6 and g(x) = 5x +3, find g(f(x)). %3D

A: f(x)=-2x+6 and g(x)=5x+3, find g(f(x))

Q: The function f(x) = 2(x-3)2 + 2 will be wider than y = x2. %3D True False

A: Here,  f(x)=2(x-3)2 +2and y=x2 is given. The graph of the functions is as shown

Q: If f(x) = - 3x- 4, g(x) = - 5x? - 3x- 3, and h(x) = - 2x² + 6, find f(2). f(2) =O (Simplify your…

A: Given,f(x)=-3x-4,g(x)=-5x2-3x-3,h(x)=-2x2+6. To find: f(2). Solution: Given,…

Q: Determine the end behavior of 6x3 - 4x² + 9x + 8 f(x) – 2x3 + 2x2 – 2x – 5 -

A:

Q: If f(x)= variable. x+3 Select one: a. and g(x)=x-3, find g(f(x)) and state the restrictions on the g…

A: