Siven the functions: x² - 4x – 21 x-7 f(x) = g(x) = 4 4x +3 Find f(x) + g(x) 1 4 4x 4x +3 4x +12 4x +3

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

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Q: f (x) - 322 + %3D 2/3

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Q: Find: (fog)(x) (gof)(x) (fog)(2)    f(x)=7x+1 and g(x)=2x^2-9

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Q: Find the local (relative) extrema of the functionf(x)=−x2+4x−3.

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Q: Find the domain of the function.

A: Given:            fx=1-2x The function is defined for 1-2x≥0

Q: x* - 3x + 2 2. Differentiate the function f (x) = %3| 2x+ 5x – 1

A: Given: fx=x2-3x+22x2+5x-1 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power law:…

Q: Find the domain of the function.

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Q: f(x): ×+18 and glx) = 4x-34 2. f(x) - 5x - || and glx) - 7 -3x

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Q: Find the domain of the function.

A: Given: fx=3x-2x+1 To Find: Domain of the given function

Q: f(x) 3. g(x) = V2 - x 2-16

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Q: f(x)= 2x^2 - 6, find f^-1(f(f^-1(12)))

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Q: Find the domain of the function. f(x) = Vx-8 6. 8. f(x) = x2 + 8

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Q: Find the domain for the functions 1. f(x) = 8– V3x – 7 -

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Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: Find the domain of the function.

A: A function is the relation between input variables and the output variables wherein each input…

Q: Can you calculate f(0) for the function f(x) = 2π2?

A: Answer is  f(0)=2π^2. Explanation is given below

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

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Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

Q: f(x)=2x+1(3x-1)

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Q: Q1: Find inflection point of the function F(x)=X³- 2X+1

A: Our Aim is to find the inflection point of F(X)=X3-2X+1 -(i)

Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

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Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

Q: f(x) = V1-2x 2+5x+4

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: f(x) = 3X f(x) = 3* -4 -2 4

A: f(x) = 3x for x= -4 the value of f(x) is 3-4 = 181 x=-4 , f(x) = 181 for x= -2 the value of f(x) is…

Q: Find inflection points of the function. а. f (x) 3D х1/3(х - 2) b. f(x) = x³ – 3x² 9x + 15 %3| -

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Q: -2x+6 Consider the function f (x) = x3+2x2-15x

A: Here we use basic definition of function.

Q: Find the domain of the function.

A: Domain is set of all the input values which can take value in function such that it gives some…

Q: If f(x) =x°(/x), then f(4)(16) = X. %3D

A: To determine the fourth derivative of the function.

Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

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Q: If f(x) = (2x + 1) (x - 3)°, then f'(2) = %3D

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Q: Find (fog)(4) when f(x)=-2x^2+3x+1 and g(x)=2x-5 If f(x)=2x+7 and g(x)=2x-8, find (fog)(8)

A: a)Given,

Q: Find zeros of the function: x² – 16 f(x) = 3x + 2

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Q: Given f(x) = -4x - 10 and f(x) = 10. Find x %3D %3D

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Q: f(x)=2x+4 (x<-1)

A: Given , f(x)=2x+4   x&lt;-1let y=f(x)⇒y=2x+4⇒y-4=2x⇒12y-4=x  ..............................(1)the…

Q: f(x) =l10x2 -4xI , g(x) = 9x - 6;Find (f ∘ g)(1).

A: This question can be solved using the concept of composition of function.

Q: 2) Find the domain of the function. 7 – 4x f(x) = 3x + 2

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Q: F(x)= 3x^3 + 2x + 3/x^2?   then F'(2) is?

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Q: Find the domain of f(x) = Vx-4 %3D

A: Given the function  f(x) = x-4

Q: (7) The domain of the function f(x) = vx³ – 8 is |

A: Solution

Q: Differentiate the function: a) f(x) = e10z–2» = el003-2x b) f(x) = Vª + 2 c) f(x) = (4x7 – 2x*)5

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Q: Find the domain of the function.

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: raph the function. 2x +3, if x < 0 14) f(x) = . x2 - 4 ifx2 0

A: The graph is a combination of a straight line in case of 2x+3 and a parabola in case of x2-4:…

Q: f(x) = -4x+1 g(x) = 4x +3 a. (fog)(9) b. (gof)(-4) c. (fog)(x)

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Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

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Q: tees is x2-16 x+4 14. f(x) = g(x) = * x2-5x+4' x-1 -2 -1 0 1 3 4 f (x) g(x) 2.

A: Given function is fx=x2−16x2−5x+4 and gx=x+4x−1 Simplify fx=x2−16x2−5x+4…

Q: - 5x + 9 x 3 -

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Q: x + 4 1. f(x) x² - 9

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Q: f(x) = 8x + 2x−¹

A: answer is in next step

Q: Use f(x) = 3x - 4 and g(x) = 2 - x %3D (a) (fo g)(-2) (b) (go f)(-2)

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Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.