Let -x? + 2· x – 5 f(x) = (x + 1) · (x² + 6 · x + 9)

Q: Find f"(x). SC) = (2x)* – (8x) - 3

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Q: Find the domain of each function

A: We have to find the domain of the function: gx=3xx2-4 We know that for any rational function pxqx…

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

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Q: Suppose f(x) = x²-3x - 5. Compute the following: A.) f(-5) + f(2)= B.) f(-5) - f(2)= Question Help:…

A: Here we have to find the value of the function at a point.

Q: Let f(x) = 2x + 3x? + 5x + 5. Find f(3 + V2).

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Q: Differentiate the function √√7e³x - 1 2x² + 1

A: (u/v)' = (v.u'-uv')/v2 (u+v)'= u'+v'  (u.v)' = uv'+u'v

Q: Let x + 5 f(x) x +7 f(- 7) =

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Q: Determine the end behavior of the following function as x → –: 6x2 – 7x – 9 - t(x) - 3x4 – 2x3 |

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Q: Which function is equivalent to, y = 4x - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x +2)?…

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Q: Let F(x)=x²-17 and G(x) = 5-x. Find (F-G)(-7). (F-G)(-7)= (Simplify your answer. Type an integer or…

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Q: If f(x) = 3x + 2, and * g(x)=x +x - 2 , find gof.

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Q: (9) y 2*+2 4 15 (11) y: (

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Q: { if -3 x 2 x 1 f(x) 5x - 8 if x > 2 Domain:

A: To describe the set of points x , for which f(x) is well-defined.

Q: Let a be a real valued constant. Let f (x) = 3axt. Let h (x) = /2ax + 5 . Determine (f (x) h (x)) .…

A: Here we will use chain rule of differentiation to find the solution

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.