3- х Given that f(x) find each of the following: %3D 4+x f(-4) b. f(-3) a.

Q: R P-R PO(P R) T T F F х1 x3 F F F F F x2 x4 b) Find the value of x3

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Q: ( 6x + 3 r < 3 Given the function f(x) what is f(3)? 21 0-1 6x + 3 .

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Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: 12) f(x) = 3x° – 2x2 g(x) = 3x – 5 Find (f g)(1)

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Q: 7x + 3 Given f(x) then f-1(x) will be 8

A: f(x)=7x+38 , we have to find f-1(x)

Q: Find g'(4) given that f(4) = 6, f'(4) = 3, and g(x) = Vaf(x). Answer:

A:

Q: Simplify f(x) = x2e2x – e2x – x2 + 1 = 0.  This function is 0 at x=-1,0,+1, but that is difficult to…

A: Given.

Q: F(x)=3x+5, g(x)=5-x find f•g

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Q: f(x) = x+3

A: fx=x+3 Now, substitute 1 for x into provided function. f1=1+3=4=2 Substitute 6 for x into provided…

Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: f(x) = 3e + x° + 12 = f'(x) -

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Q: f(x)=x−3 and g(x)=x^2−49 (g∘f)(x)=

A:

Q: f(x)=3x-2 and g(x)=4-x2     to elvaluate the expression   (f o f)(x)    (g o g)(x

A: given that f(x)=3x-2 and g(x)=4-x2     to find (f o f)(x)  (g o g)(x)

Q: Find g(3) given that f(3) = -2, f'(3) = 4 , and g(x) = 21+1 f(x) Answer:

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Q: f(x) equals square root of x - 5 and G(x) equals 2x + 7 find the following: a) (f -g) * x       B)…

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Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: If f(3) 5 and f '(x) 2 2 for 3 < x < 5, how small can f(5) possibly be? Need Help? Read It Watch It

A: Given f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 5 We have to find the minimum value of f(5). Let us…

Q: (x) = -3x3 + 14x² + 18x – 8, k = 3 +/7 f(x) = Demonstrate that f(k) = r. (3+ v7) = Need Help? Watch…

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Q: F(x)=4x^2-9 Solve: F(x)-f(a)/x-a

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Q: 6. f(x) = 5x + ; x = 0 g(x) = 12x Given that (fog)(x) = (gog)(x), find the value of x

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Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: f(x)=x-4, g(x)-2x^2+13x-5  find (f*g)(2

A: Topic = Functions

Q: Q3) A) If you have three functions: f(x) = x? - x g(x) = 3x- 1 w(x) = x2 – 2 So, find gof (x) and…

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Q: f(x)=3x^1/5(x^3-9) f'(3)=?

A: The objective of the question is find the derivative at x=3 . That is f'(3).

Q: 3x+5 and g(x)=3x2+3x after simplifying (f o g ) (x)=

A: Given that two functions:We need to find the composition of function.

Q: 4a+ax/x)=f a=

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Q: f(x)=x-1; g(x)=2x find 1. (f+g)(3)

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Q: f(x)= x-5 g(x)=x^2-1 find f/g. show your solution

A: given: f(x)=x-5 g(x)=x2-1

Q: 04: Solve the following If f(x)=x and g(x)=Vx- 1 1. Find domain of f(x) and g(x). 2. Find f(g(2))…

A: f(x)=x and g(x)=√(x-1) Find the composition

Q: If f(3) = 12 and f '(x) > 1 for 3 < x < 7, how small can f(7) possibly be? Need Help? Read It Watch…

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Q: f(x)=x+3 * Find (fᵒg)(x) g(x) = 1/7²-9

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Q: f(x) = a-2

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Q: 10x2 Given the function : y = f(x) = 1+x2 (a) Use the input values :

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Q: 7x + 3 Given f(x) then f-(x) will be . 8.

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Q: If f(x) is defined as follows, find (a) f(– 2), (b) f(0), and (c) f(1). (X) f(x)%3D? 2 3x+3 if x> 0…

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Q: If f(x)=8x³ (power value: 3) , g(x)=x/3, (power value: 1/3), then what is fog (x) =?

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Q: f (x) = -1 + √x-2. g (x) = |3/2x-10| , h (x) = 4+x²/x+8 find f (7), g(4), and h (2)  simplify

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Q: x²+3x If f(x) = , then what is f"(1)? x +1

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Q: 5) f(x) = 7 - e-X 6) y = 5xeX - 5eX

A: our objective is to find the derivative given in question 5 and 6.

Q: f(x) = x 2 + 8, g(x) = 2x - 1 Find (f + g)(3)

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Q: Find f'(x). f0x) = 6x - 7 e* (Type an exact answer in terms ofe.)

A: Given

Q: 3x+2 7. FIND f"(x) OF ƒ(x) = 4x ANSWER:

A: Proceed as shown below

Q: f(x)=bx+4  b is constant. If f(1)=3 what is the value of f(-3)

A: Given that f(x)=bx+4 where b is constant

Q: How many points of inflection does f(x) =x°e¬* have? 2 3 1 4 LO

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Q: F(x)= 2x+4 and g(x)=5x^2*3x after simplifying (f•g)(x)

A: (f.g)(x) is called composition of function , the variable x from f(x) has to be replaced with g(x)

Q: Find g'(4) given that f(4) = -10, f'(4) = 2 , and g(x) = Vaf(x). %3D Answer:

A: topic - functions and derivative of a function

Q: f( x ) = x 2 g( x ) = [ x/21 Select the correct value for f . g(- 3/2). Oa -1

A: We write f•g=f(g(x))

Q: 2x2 + 3x + 6 Let f(x) = Find the following: Va

A:

Q: F(x)=7x-8 and g(x)= 3-x^2 what is f(g(0)) and  g(f(0))

A:

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.