Find the following using the table below. 1 2 3 g(x) g'(x) 2 32 24 X f(x) 1 f'(x) 2 4 3 1 1 4 2 1 3 4 ww h'(1) if h(x) = 4 TIN 3 2 h'(1) if h(x) = f(x) · g(x) f(x) g(x) h'(1) if h(x) = f(g(x))

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

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Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) gʻ(x) 1 2 3 4 2 4 3 1 4 2 4 1 2 3…

A: By the product rule of derivative and divison rule of derivative

Q: 1 Express the function h(x) in the form f o g. If g(x) = (x – 2), find the function f(x). -2 Your…

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Q: f (x) 3 1 g(x) 1 4 3. 2. 4. 2.

A: Suppose f , g are differentiable function then by product function f·g is also differentiable and we…

Q: Suppose we know the following things about a function r: r(3) = -35 T'''(x) = - 12 r' (1) = -3…

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Q: Consider the values of f and g in the given table. |f(x) f'(x) g(x) g'(x) 1 4 |-2 |-1 2 |-3 1 2 3 1…

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Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: a. Choose the proof that shows f(x) = x1 and g(x) = Vx are inverses of each other below. OA. f(x) =…

A: To Determine: Given both functions are inverse of each other.

Q: 3. For each of the following functions, find f and g so that h(x) = f(g(x)). a. h(x) = /x + 2 1 b.…

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Q: F. Determine the following given that 1. f(g(x)) 2. g(f(x)) 3. f(g(-1)) 4. g(f(2)) f(x)=x²+x-3 and…

A: As per our guidelines, we are supposed to answer only one question with three subparts only. since…

Q: Given that h(x) = ƒ(g(x)), find h′(3) if g(3) = 4, g′(3) = 5,ƒ(4) = 9, and ƒ′(4) = 10.

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Q: Solve for F(s) L[(1+ e2t)²] a. 1 2 1 s's-2's- 4 Ob. 1 2 s - 2 s's+2 1 + s's+2' s + 2 d. 1 + s's-2' s…

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Q: Compute the following values for the given function. f(x, y) = 3xye(x² + y²) f(0, 0) = f(0, 1) =…

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Q: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

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Q: 1 Let f(x) : s and g(z) = + 6. x – 6 Find the following functions. Simplify your answers. f(g(x))…

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Q: Consider the following five functions. • a(x) = x − 2 • b(x) = |x| • c(x) = x + 2 • d(x) = −x • e(x)…

A: Given, ax = x-2bx = xcx = x+2dx = -xex = x+4   fx=e∘d∘c∘b∘ax   f(x) is the composition of the five…

Q: 4. Let f (g(x)) = (3x – 5)² + 1 and g(f(x)) = 3x² – 2. Find a single formula for f and a single…

A: We have given that f(g(x))=3x-52+1 and g(f(x))=3x2-2. We have to find for single formula for f and a…

Q: 1. Given the functions f(x) = Vx – 5 and g(x) = x² – 6, determine each of the following %3D values.…

A: see the details solution in below

Q: 42²-17. find f(-1) 1. Given f(x) = 42²

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Q: Write each of the following functions in the form w = (1) g(z) = // (2)q(z) = 42² +2 z-2 (3) G(z) =…

A: To write the given functions in the form w = u(x,y) +iv(x,y), use z=x+iy

Q: Express the given function h as a composition of two functions f and g so that h(x) = (fo g)(x). 1…

A: Checking all the options.