1 Let f(x) = /6x -1 and g(x) = -. Find (f+ g)(x), (f- g)(x), (fg)(x), and (x). Give the domain of each. g X (f+ g)(x) = ||| (Simplify your answer.) (f - g)(x) = (Simplify your answer.) (fg)(x) = (Simplify your answer.)

Q: Lim x2-x- X7-2 2-2

A: limx→-2x2-x-4x2-2

Q: x² + 6x - 7 lim x² - 1

A: Given:  limx→1x2+6x-7x2-1 To find: The limit.

Q: Find the limits

A:

Q: て x²+2X-3 lim メー X2ー16 2. lim X タ x²+x-12 |im メーーの

A:

Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: lim (x' - 2x² +5)=. – 2x² +5)= x→-2

A: Please refer to the image below. 9

Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

A:

Q: Find the maximum value of the function f defined by f(x)= 5+3x- 2x^2.

A:

Q: x² - x-6 lim x-2 x2 +3x+2

A: L'Hospital Rule: If limx→af(x)g(x)=00      Indeterminant forThenlimx→af(x)g(x)=limx→addxf(x)ddxg(x)…

Q: x2 -x-2 lim 2 x²- 2x エ2

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: lim (3x° -4x2 +3x +2) 4x +3x +2 X→-1

A:

Q: lim x-2 x²+2x-8 x-2

A:

Q: lim X-4 (x²-3x-4)² X-4

A: We need to evaluate the following limit limx→4x2-3x-42x-4

Q: x2-4 lim x--2 x2+4x+4

A: In this question, we have to find the limit of a function which is of the form 0/0.

Q: Evaluate this Limit:

A: To Determine: Evaluate limit

Q: x2-4x+4 2. lim x-2 x2-x-2

A:

Q: x2-3x 5) lim X-3 x2-9

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…

Q: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: The function f(x) = – 2x + 33x² – 168x + 7 has one local minimum and one local maximum. This…

A:

Q: 11. Find the domain of √√x-4 x² - 6x f(x)=

A:

Q: lim x-1 2x³ +3 3x² + 1 - 3x + 2

A:

Q: Find the limit L.

A: To find: The limit of limx→-4x2+4x. Calculation: The limit of limx→-4x2+4x can be obtained as,…

Q: Find a rule for g-(x) if: g(x)=3x +2 %3D g(x)=| %3D

A: For finding inverse of the function g(x) replace x by y and g(x) by x and solve for y.

Q: x2 - 6x + 8 lim X 2 X - 2 1

A: The objective of the question is evaluate the limit.

Q: The function f(x) = 2x° + 36x2 192x + 2 has one local minimum and one local maximum. This function…

A: using derivative test to find out local minimum and maximum

Q: lim (x - 2x + 4x + 8) x→-2

A:

Q: 2+x (b) lim 1-2-2+x²

A:

Q: Standard form of g(x)=x^2-10x

A:

Q: Lim (x"-3x) (%5x+3) 2. とつ-!

A:

Q: find the domains and ranges of ƒ, g, ƒ + g, and ƒ # g.1. ƒ(x) = x, g(x) = 2x - 12. ƒ(x) = 2x + 1,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x-3 lim X04x2-25

A: We have to find the limit for the given expression…

Q: lim x-2x2 +3 x-1 |

A:

Q: x2-4x+3 lim x→3 x2-5x+6

A:

Q: Lim x²-3x-4 x²-1

A: Topic:-  limit calculus

Q: The function f(x) = - 2x° + 30x² – 144x + 11 has one local minimum and one local maximum. This…

A: To find max/min put f'(x) = 0.

Q: a polynomial function is given  U(x)= -x^3+3x^2 describe the end behavior of the polynomial…

A:

Q: The function f(x) = - 2x° + 33x² 108x + 7 has one - local minimum and one local maximum. This…

A:

Q: If g(x) = √100 - x^2 , where - 10 ≤ x ≤ 0, find A) g^-1 (x) B) the domain and range of g^-1

A: g(x)=100-x2y=100-x2x=100-y2x2=100-y2y2=100-x2y=-100-x2 [here 0≤x≤10]g-1(x)=-100-x2 , 0≤x≤10

Q: The function f(x) = 2x° – 33x² + 144x + 5 has one local minimum and one local maximum. This function…

A: Given, f(x) = 2x3 - 33x2 + 144 x + 5 To find the local maxima and local minima, we will…

Q: 2. lim f(x) = x²– 4x +4 х 2 Use the domain [-9,6] to draw the graph. X X -2

A: Firstly, See the graph of (x² -4x +4)/(x-2) , -9≤x≤6

Q: X-3 b. lim X-3+ x2-9

A:

Q: lim v2x3 – 3x² + x + 2 1 X→- 2

A: Given limx→122x3-3x2+x+2

Q: x2 + 14x + 24 lim x--2 x² + 2x

A: on solving this we get

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

A:

Q: x²-1 8. lim x-1 x2+3x-4

A: Given: limx→1x2-1x2+3x-4

Q: 4. Which of the following is the maximum value or the minimum value of the graph of polynomial…

A:

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: 5) (6: -1). Find f'(x) if f(x) = (4x² + 5) ( 6x - f'(x) =

A: The given function is fx=4x2+56x-14. Find the derivative of the given function. Here we use the…

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.