Let f(x) = 11x + 2r and g(x) = -7x- 3r + 4. Find (f+g)(x) and (f -g)(x). Then evaluate f+g and f-g for x= 2. %3D

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

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Q: f(x) = V2x + 6

A: Given function is, f(x) = 2x+63=(2x+6)13 Tangent line of the function at x = 1 is given by,…

Q: 3. Find f. (a) f"(x) = x + 12x² %3D

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Q: th Exams ff(x) = V13 - x and g(x) = x² + 3x – 4, what is (g of)(9)? %3D lect one: a. 6 b. 1 с. 4

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Q: 4. f(x) = 5sinx + 3cosx

A: To find the derivative of f(x)

Q: f(x) = – 0.5x2 – 3x – 4?  Find the end behaviour

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Q: f(x) = x- 2x+4. Find kth)-fx) ん

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Q: х+ 3 f(x) %3D x2 - 9

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Q: f(x) = (2x – 3)²

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Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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

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Q: Find fg.f(x)=5- x²,g(x) = x² + 4x – 12 %3D fg)(x) = x - 4x³ + 17x² + 20x – 60 %3D (fg)(x) = -x*- 4x3…

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Q: 6x-7 f(x)3D 5x +x2+1

A: The given function is

Q: 2x f(x) = x² - 4 %3D

A: Algebra Question

Q: Find f'(a). f(x) = 7x - 8x + 6| %3D

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Q: 5. f(x) = c= x3-x %3D

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Q: f(x) = 10 - x2 %3!

A: Consider the given function, fx=10-x2 The limits are given as, Lower Limit: a=-1 Upper Limit: b=2…

Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

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Q: find f [g(x)] and g[f(x)] .

A: Given function are: fx=-8x+9gx=x5+4 The objective is to find f [g(x)] and g[f(x)] .

Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

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Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: F (X) = 2X+7

A: We have to graph the function.

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: Find fg.f(x)=5-x²,g(x) = x² + 4x – 12 (fg)(x) = x - 4x³ + 17x2 + 20x -60 (fg)(x) = - x*- 4x3 + 17x2…

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Q: ork. f(x) = -2.5x +6 a) f(9) = b) f(x) = 29, x = V1047

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Q: 4x2 + 6x + 7 If f(x) = then: f' (x) = f'(2) = %3D

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Q: f(x) 4x² – 3x + 8, ther %3D

A: In this question, the value of fx at x=-2 is to be determined. fx=4x2-3x+8

Q: Find the derivative.

A: We write the given expression using an exponent then use power rule and chain rule

Q: 4x - 4 rse of f(x) 2x - 1

A: From the given data:

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: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: f (x) = x* + 2x %3D

A: given isfx = x4+2xdifferentiating both side with respect to xdfxdx=ddxx4+2x

Q: f(x) = x ^ 2 + 3x - 2, findf * (- 2)

A: given that  F(x) = x2+3x-2.        ----------(1) And we have to find f'(-2)  For this we first need…

Q: f(x) = V3x-12 %3D

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Q: f' (x) = 3x* – 5x² + x

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Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

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

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Q: f(x) = ²-12x+20 x-1

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Q: 6. Given f(x) = -3x*-12x3-7x +3, find f(-2) by plugging into f(x) %3D

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Q: f(x)%3D3X +10 A. x = 5 B. x =0

A: the given function is: fx=3x+10 A) x=5 B) x=0 we have to determine if the given function is…

Q: f(x)=-x^2+4x-4

A: Explanation and solutions is given below.....

Q: f(x) = 8x + 2x−¹

A: answer is in next step

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Q: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

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Q: 1 f(x) = x²- 4x %3D

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Q: f(x) = x² + 5x - 1

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.