(x+3)² Suppose f(x) = = and g(x) = x - 1 are both defined on their natural domains. 3x - √2 + x You may assume the domain of (fog)(x) is: { x = R, x ≥ −2 and x ‡ * {2 € R.. 1+√73 18 Which one of the following is (fog)(0) ? Select one alternative: 0 1 O-1 - (₁ + √²) 9 √2 O

Q: 2. Find the zeros of f(x)=x² -x-12.

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: If f(x) = 2x - 3, g(x) = 6x – 9, and h(x) 4x2 – 12x + 9, then Preview (g – f)( – 2) =

A: Given that: fx=2x−3, gx=6x−9, and hx=4x2−12x+9 To find:  g−f−2

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: Given f(x)=x²-1 and g(x) = √2x + 2 Which of the following have the same domain? Select all that…

A:

Q: 3. Find the domain of these functions. (a) y = √3x + 4 x+5 (b) y = 5x-2

A: a) y= √(3x-4)b) y= (x+5)/(5x-2)We have to find domain of above functionsDomain: set of  all value of…

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: f(x)={x2-9/x-3 if x is not 3.  7 if x=3

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Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Find f5(x) if f(x)= 3√3x+2

A:

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

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Q: f(x) =-2x - 4 if xs2 |4x -9 if x> 2 3.

A:

Q: 1a. f(x)=−x^2 ; g(x)=x−3 Find the expressions for f∘g and g∘f and give their domains. (f∘g)(x)=…

A: 1a) The given functions are fx=-x2 and gx=x-3. Evaluate f∘gx as follows. f∘gx=fgx=fx-3=-x-32 Thus,…

Q: 29) The domain of f(x) = 5x – 7x? + x – 8 is

A: Domain is the set of values the function can take. It is the possible values of x.

Q: 2 (x? - х- 6) R (x) X State the domain of the following function : 7(x? + 4 x – 21)

A: Given the function:       Rx=2x2-x-67x2+4x-21 Find the domain of R(x).

Q: Show that f(x) = 2x3 + 3x2 − 36x is not one-to-one on (−∞, ∞).

A: Given: f(x)=2x3+3x2-36x, -∞,∞

Q: Let f(x)- 3x-4 and gix)= x² +4x +5. Find f(3) = f(-2)- 9(-3): g(2): flat2): glar2)

A:

Q: Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x - 6 A 8x² + 4x + 22 B) 4x² + 4x + 10 C) 4x² + 2x…

A: Solve

Q: Evaluate x²+ 3x – 7 if x2 12 x=2 с. f(2) d. f(3)

A: