Question 5 Assume that dx = 3, f(x) dx = e, g(x) dx = -3, g(x) dx = , and f is an odd function and g is an even function. Evaluateg(x) dx 3. O - 3-1 OT - 3

Q: For Discussion 57. Consider the linear function f(x) =x – 4. If x is changed by 1 unit, how many…

A: This question is asked about the change in the function value y corresponding to change in the value…

Q: 7. v₁ = (0, 0, 1), V2 (0, 0, 1), V₂ = (7, 4, 11), V3 = (5, 3, 13) 8. V₁ = V1 (2, 0, 0, 0), v₂ = (0,…

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Q: The graph below represents which type of power function of the form y = kx"?

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Q: When f(x) = 7x² + 5x +5, evaluate f(- 4) | f(- 4) = %3D

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Q: Given the three function below, which expression equals (r o bo s)(x)? b(x) = 2" r(x) = |æ| s(r) =…

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Q: 8x+1 Evaluate f dx using algebraic substitution V4x-3

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Q: The figure shows the graph of f. If F' = f and F(0) = 2, find F(b) for b = 1, 2, 3, 4, 5, 6. F(1) =…

A: The given figure

Q: If f(x) = g(x) + 5, and g(x) = 3 -5*, then f (x) = 3 ·5* + 5 b. f(x) = 8·5* а. f (x) = 3 · 5* – 5 d.…

A: Solution is in step 2

Q: 3. #34: Find g'(-5), where g is the inverse of f(x): x²+1°

A: Given, fx=x3x2+1 g is the inverse of f(x). To find, g'-12=? Formulas used,…

Q: Consider the function f(x) = 11x²- 19x + 6. Compute the difference quotient expression (you should…

A: Given, f(x)=

Q: This is the graph of a function f (x). What is the value of , f (x) dx? (3, 1.5) 1- (0, 0) 3 -2 -1 2…

A: objective is to find the integration.

Q: Question 11 The point (17, - 3) is on the graph of y = f(x). 1 a) A point on the graph of y = g(x),…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Question 12 5x + 5 Given: f(x) 4z-4 Find the inverse function, f-¹(z). =

A: Given query is to find the inverse function.

Q: The point x = 0 is a regular singular point of the differential equation. 1 x²y" + (²x + x²)x¹. y -y…

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Q: Find the inverse function and the domain and range of both f(x) and f-(x). Dr-1:. бх + 5 f (x) = X -…

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Q: 10. What is the inverse of f(x) = 2x + 5? O A.-5 B. 5-2x C. -2 D.

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Q: Let f(x): 1 and g(x) 4 + 3. x – 3 - Find the following functions. Simplify your answers. f(g(x)) =…

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Q: The function f is defined by f (x) = -x³ + 3x² – 3x and f(2) =-2. If g is the inverse function of f,…

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Q: Find the inverse function of f informaly. f(x) = 2x + 2 x) =|| Verify that f(f-(x)) = x and f-(f(x))…

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Q: 1/2 Write the function as a composition of two functions.

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Q: The function f (x) = x-3 is an odd function. Jus-tify your answer.

A: To prove the function  f(x) = x-3 is an odd function. Any function is called an odd function if…

Q: Drawthegraphofy = -e(x- 2).

A: Given- y=-ex-2 To draw- The graph of the above expression.

Q: Given f (x) = 4x+3x, evaluate Part 1 of 4 (a) f(-3) = Part 2 of 4 (b) f(-2) = Part 3 of 4

A: We have given fx) = 4x² + 3x

Q: 4. a) Find the inverse of the following function. f(x) = 2(x – 6)² -

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Q: Evaluate ƒ ™²+³x+5 dx x+1

A: Given indefinite integral ∫x2 + 3x + 5x + 1dx

Q: For the function: f(x) = -x² – 5, f(x) - f(a) x-a

A: 9) Given a function here need to find the value of then

Q: 3. Iff= {(-7, 1), (-5, 8), (3, 11), (5, -1)} and g = {(-6, 4), (-5, 3), (-1, 7), (5,5)}, what is f +…

A: Given that, f={(-7, 1), (-5, 8), (3, 11), (5, -1)} and g={(-6, 4), (-5, 3), (-1, 7), (5, 5)}

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.