For each wff, find an interpretation in which it is true and one in which it is false. a. Gx)[A(x) ^ (Vy)B(x. y)] b. [(Vx)4(x) → (x)B(x)] →(Vx)[A(x) → B(x)] c. Gx)[P(x) V Q(x)] ^ (Vx)[P(x) →→ Q(x)]

Q: X(Vx+

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Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

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Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

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Q: Find (g o f)(x) and (fo g)(x) for the given functions f and g. x) - o(x) = Vx-2 x- 2 (go n(x) - (fo…

A: Given: fx=1x2, gx=x-2 To Find: gofxfogx

Q: Evaluate C(x,(x−1))

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Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: Let f (x) = x- 7 and g(x) = x² – 16x + 63, then f(x) g(x) Select one: O a. X-9 O b. x+7 x+9 O d.…

A: Given: f(x) = x -7 g(x) = x2 - 16x + 63   To find: f(x) / g(x)

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

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Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Define f (x) = Vx² + 1 and g(x) = 2 – x². Find and simplify (go f)(x).

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Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: Let f(x) = V9 + x. Find f(3V5) ·f(-3V5)

A: Given: fx=9+x

Q: Let f(x) = 2x – 5 and g(x) = x² – 7x + 2. Then (f o g)(x) = (go f)(x)

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Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)

Q: Evaluate (f− g) , (1) and (3f + 2g) , (1), assuming that f , (1) = 3 and g , (1) = 5.

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Q: 15. Subtract the functions: f(x)- g(x) where f(x) = -3x + 6 and g(x) = 4x- 2 h(x) = f(x) - g(x) =…

A: Answer and explanation is given below...

Q: If u(x) = 4x² — 7 and v(x) = x³ – 9, find u(x) · v(x). . u(x) · v(x) =

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Q: Let f(x) — За — 1, g(х) 1, g(x) x + 2, and - h(x) 3x + 4. Perform the indicated operation. (Simplify…

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Q: Find functions f and g such that h(x) = f(g(x)), when h(x) = (9x³ – 5x)³ – (9x³ – 5x)² + 11.

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