Given that f(x) = x² – 2x – 80 and - g(x) : = x – 10, find f (x) – g(x) and express the result in standard form.

Q: Let Ax) = x³ + 9x² – 6x + 2. Find f (x) and f"(x), and then solve f"(x) = 0.

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Q: Given that f(x) = x² + 6x – 40 and g(x) = x +10, find f(x) + g(æ) and - express the result in…

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Q: Find the domain of the function.

A: Given: kx=x+3x-1 Domain of a function is the set of all values of x for which function is defined…

Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: Given that f(x)=x^2+2x-8f(x)=x2+2x−8 and g(x)=x+4g(x)=x+4, find (f-g)(x)(f−g)(x) and express the…

A: Given ,fx=x2+2x-8gx=x+4

Q: Find real values of x for which f(x) = 0. f(x) = x2 − 6x − 16

A: We have to find real values of x for which fx=0: fx=x2-6x-16 Applying given condition,…

Q: Let h(x) = x³ - 2x + 3 and find the value. h(-1)

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Q: -2t x' – 5x = -e", x(0) = 3

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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…

A: Answer

Q: snip

A: Make the changes function in the  function (f+g)(x) by adding and subtracting terms such that…

Q: Given that f(x) = x2 - 8x + 15  and g(x) = x - 5     find (f ÷ g)(x) and express the result in…

A: Given  f(x) =x2-8x+15           g(x) =x-5We find (f÷g)(x)

Q: For x 2 0, show that 1S v1+x³ <1+x°. Explain your answers in detail.

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Find the point of inflection and concave of the graph of the function. (If an answer does not exist,…

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Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

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Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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Q: Determine the image of the function x2 – 12x + 27 f(x) = x2 – 4x + 5 for all æ E R. Solve the…

A: .The given rational function is f(x)=x2-12x+27x2-4x+5. We can determine the image of the function…

Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: 2 If f(x) = 3x? + 9x and g(x) = x + 3, find f • g(x) . Completely simplify the result

A: to see 2nd step

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: Sketch the crach oF I (x) = 3x² +7x-6 x²+4x+1 F I(x)

A: GivenF(x)=3x2+7x-6x2+4x+1

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: given: g(x)= 8x^2-x^3 Find G'(a)

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

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Q: What is the domain of y=ln(x^2+3x−18)

A: Consider the given function

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: Find the domain of g(x) = v16 – x² and h(x) = vx2 – 16. Express your answer using interva notation.

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

Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

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Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: Given f(x) 3D4X-6 and g(x) = 2x 3x SPO find (f-g)), +g), (S.g))

A: Given that, fx=4x-6 ; gx=2x2-3x We have to find, f-gx ; f+gx ; f·gx ; fgx

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

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

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Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

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: Find f '(a) for f(x) = 3 − 2x + 4x2

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Q: Q2: Find f-(x) 2x - 3 f(x): I +2

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Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

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Q: f(x) = x²+6x+5 2-1

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Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

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Q: Given that f(x) = x² + 12x + 35 and g(x) = x + 7, find (f · g)(x) and express the result in standard…

A: Given : f(x) = x2+12x+35 g(x) = x +7

Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

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Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

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Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

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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.