Find functions f and g such that h = gof. %3D h(x) = (4x – 7)³/2 %3D {g(x), f(x)} =

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: The function g(x) has been reflected across the x-axis and compressed vertically by a factor of 1/3.

A:

Q: Using L'Hospital's rule, determine whetherf (x) or g(x) given below grows at a faster rate. f(x) =…

A: Given to use L'Hospital's rule for f(x) and g(x) where: Using L'Hospital's rule and applying…

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

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A: To find the foraging time

Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: According to the Q&amp;A guidelines, one question can be answered. Please repost other questions…

Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

A:

Q: Find the domain of the function. f(x) = ln(x^2 + 1)

A: Definition used:The domain of a function is the complete set of possible values of the independent…

Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

A:

Q: Show that f(x) = ln xn /x is a decreasing function for x &gt; e and n &gt; 0.

A: Given function is, But, Hence,

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: f(x) = e + x³ – 1 and g(x) = 2r2 – 1. %3D Find (g of-)(e). · O C

A: Please refer to the image below

Q: 4. f(x) = -3|x - 4| + 6; vertical shrink by a factor of g(x)=

A: We have to write a function 'g' whose graph represents the indicated transformation of the following…

Q: f(x)= 5e5x^7+9x^10 f'(x)= ? Show work

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Q: f(x)= 1-x^2. Fi %3D

A:

Q: 9. If f (x) = e3*, then (f-1)'(x) = %3D 2 А. e3x e 3x 1 С. 3e3x 1 D. 3x B.

A: Given function is fx=e3x. To find: f-1'x Solution: To find inverse of the function, we will replace…

Q: Find the domain of the function. f(x) = √(ln x)

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Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: The function below has a critical point at x = 3. What is the exact value of b (as a fraction - no…

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Q: g(x)=(4x^2-5x+1)e^x g'(x)=

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

Q: 26) g(x) = x² – 5x; g(x) = 104. Find x. %3D -

A:

Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: F(x)= X^3-18X^2+81X Maximas occur at x=

A: Assume x=c is the critical point of f(x). If f'(x)&gt;0 to the left of x=c and f'(x)&lt;0 to the…

Q: Find the inflection points of the function f(x) = ln(x^2 + 1)

A:

Q: 8) g(x+ 1) h) f(5x – 3) + g(3x) i) Find x, if f(x) = 40 i) Find x, if g (x) = -2 %3D ©OOC amazon

A: (g)  g(x) = x² - 5x + 3 So, g(x+1) = (x+1)² - 5(x+1) + 3 = x² + 2x + 1 - 5x - 5 + 3 = x² - 3x - 1…

Q: F(x)=e^2x (3x^2-x)

A: see 2nd step

Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

A:

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

Q: f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of…

A: Given function f(x)=x3-1000x+2022

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: (e) x+1 f(x)= 10(x-2)

A:

Q: 3 f (x) dæ = 4, | f (x) dx = -6, and | (2) dz = 12, If and f is an even function, find 3 f (3x) dx.

A: To find limit( 1 to 3) f(3x)dx

Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) - F(- 1)? A) 3 B -1 -2

A: Please refer to the image below

Q: 10. Find y' with the implicit function below. 3(x² + y²)² = 100(x² – y²)

A:

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

Q: Find the derivative

A: Use the chain rule and division form of derivative and simplify.

Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: f(x) -ax e = X <0

A:

Q: Please

A: The given function is

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: f f(x)=e^3x/x+1 and g(x)=ln(4x^3−2x^5), f′(0)= g′(1)=

A: The given functions are: f(x)=e3xx+1  ;  g(x)=ln4x3-2x5

Q: 5 If f(x)=g(x)+3 where 2<xs 5, then [[{(x)+g(x)]dx = 2ſ8(x)+3.

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Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

A:

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: f(x) = x – 4; g(x) = 5(x) - Ay

A: