Let f(x) - x2 - 5 and g(x) - 7 - x. Find a formula for h(x) - f(g(x)) + g(f(x)) in terms of x. h(x) -

Q: Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x - 2.

A: The general polynomial equation of degree n  is an equation of the form…

Q: Let f(x)=8x^3-18x^2-11x+15. Solve algebraically f(x)=o

A: Given, fx = 8x3 - 18x2 - 11x + 15fx = 0 ⇒ 8x3 - 18x2 - 11x + 15 = 0Apply hint and trial method,put x…

Q: a) If g(x) = 2x + 10 and h(x) = 3x - 2, 3 Find: - g[h(x)] = and express in its simplest form b) If…

A: Since in the given question in part (b) you asked for g inverse but there is a function f so, we…

Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

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Q: Given h(x)=4x+3h(x)=4x+3, find h(-1)h(−1).

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Q: Given g(x) = In(7x5 + æ), the derivative g'(x) is 5x4 35x4 +1 7x5 + I O 7z5 +x 7x +I 35x4 +1 O 35x*…

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Q: Let h(x) = f(z) where f(x) = ln(3x² + 2x +2) and g(x) = -2x. What is h' (x)?

A: hx=fxgx=ln3x2+2x+2-2xf(x)=ln3x2+2x+2 Differentiate f with respect to x…

Q: Given that f(x)=x^(2)+3x-70f(x)=x2+3x-70 and g(x)=x+10g(x)=x+10, find f(x)/(d)iv g(x)f(x)-:g(x) and…

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Q: Find a general formula for f (n)(x). f (x) =x-2

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Q: Use the table below to compute h'(2) for h(x) = x² + 2g(x). -2 1/2 -3 1 4 -1 -1 -2 -2 -2 -3 -1 1

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Q: Find the linearization at x = a. f(x) = 7x³, a = 1 (Use symbolic notation and fractions where…

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Q: If g(x) = 2x + 10 and h(x) = 3x - 2,                        3 Find: - g[h(x)] = and express in its…

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Q: (8 •h)(x) %3D

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Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: Let f (x) = x>(x2 - 1), g(x) = (1 - x)>(1 + x), and h(x) = 2>(3x + 1). Express as rational…

A: fx=xx2-1,  gx=1-x1+x  &  hx=23x+1 Now, gx+1=1-x+11+x+1=1-x-1x+2=-xx+2

Q: Let h(x)=f(x)g(x). If f(x)=ln(3x2−2x−4) and g(x)=3x−1, what is h′(x)?

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Q: find a general formula for f (n)(x). f (x) = x2e x

A: The first derivative of a function when equated to 0 gives us the critical points of the function…

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the…

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Q: Show that the real-valued function f: R → R defined by f(x) = x° x E R. 3x2 + 3x + 1 increases for…

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Q: If f(x) <0 for all real numbers x then f is decreasing or increasing on its interval?

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Q: Find a general formula for f("(x) if f(x) = 11x²e*. pln)(x) %D

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Q: Jse f(x) = x²-x, g(x) = 9 – 2x, and h(x) = x² + 2x-63 Evaluate (go h)(-1)

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Q: x -4x +5 - Prove that: f' x x-2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let f(x) = 3x -2 and let g(x) = 5x + 5. Find f(x) - g(x). %3D %3D Type the coefficients in the…

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Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: Let k(x)=f(x)g(x)h(x). If f(x)=−2x−3,g(x)=−3x+3, and h(x)=−3x2+x+1, what is k′(1)?

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Q: Find functions h and g such that (h o g)(x) = (x³3 + 2x – 1). -

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Q: Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

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Q: a quadratic function h is given h(x)=3-8x-8x^3 express h in standard form  h(x)=

A: h(x)=3-8x-8x3This is a cubic function.

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: find a formula for f^(n) if f(x)=x^2e^x

A: We find derivatives of f(x) using product rule.

Q: Let h(x)=f(x)/g(x), where f(x)=ln(3x2 +2x+2) and g(x)=−2x. What is h′(x)?

A: Here we use quotient rule, which is pq'=p'q-pq'q2

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: Find the Domain (b) g(x) = In(x² –- x) %3D

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Q: Find the domain of L(x)= ln(3-2x).

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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: Find (f g)(x) and (f - g)(x) for f(x) = 15x2 + 19x + 6 and g(x) = 5x + 3. O F g)(x) = 3x + 2 (f-…

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Q: Find the vertical and horizontal asymptote(s) of f(x).

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: Find k such that F(x)=x^3-kx^2+kx+44 has the factor x-4

A: To find k such that F(x)=x3-kx2+kx+44 has the factor x-4.

Q: If f(x) = 4 – In |x+ 1| and g(x) = x² + 4x +3, find (fo g)x. A 4 - 2 In |x+2| B 4- In |x² + 4x + 3|…

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Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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Q: that f(x)=x^2+11x+18f(x)=x2+11x+18 and g(x)=x+2g(x)=x+2, find f(x)-g(x)f(x)−g(x) and express the…

A: Given , fx=x2+11x+18  and gx=x+2Now , fx-gx=x2+11x+18-x+2                         = x2+11x+18-x-2…

Q: Exercise 13.3 Why is the formula x2 1 х — 1 an unstable way to compute f(x) = x +1? For what values…

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Q: a) The function m-x+e*,x=0 f(x)=- 2n, x>0 is x' -16x x<0 x - 4x continuous for all real values of x.…

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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: Let h (x) = f(x) g(x). If f (x) = x² + x and g(x) = -2x² + 4x - 1 what is h' (0)?

A: NOTE: Refresh your page if you can't see any equations. .

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…