Let f(x) = 5x + 1 and g(x) = x − 8.  Find the function. (Simplify your answer completely.) (f/g)(x)= Find the domain. (Enter your answer using interval notation.)

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: At t= 1.824 hours , concentration will be maximum.....and its value = 0.47 microgram/ mL  For…

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

Q: ६(६+६) : (11-2+21) 2 (5+276 : (7 (622) 7) *b - (b) 4 (+) दहिका xb SEX K xb

A:

Q: 2 6wen that f(x).(32-5 find the solution set of a for (1)decreasing Which the function is…

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

Q: 3 What is not true about the function f (x) = –3[2(x – 4)]° + 4? O horizontal compression by a…

A: Given function f(x)=-3[2(x-4)]3+4 Its clear that the parent function is f(x)=x3

Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

A:

Q: 2 > x>1 4 2x > 2 52x>4 62x>5 (4 x + 2 b) f(x) = 16 x² + b 1)is the above function continues at x=2.…

A: We use the definition of continuity at a point to solve the given question, i.e., A function f(x) is…

Q: 1. What are the x-intercepts for the function f(x) = x2 + 2x – 15? А. (0, -5), (0, 3) В. (0, 5), (0,…

A: Given, f(x) = x2 + 2x -15

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

A:

Q: Suppose the function y = f(x) is increasing on the interval (−1, 5).• Over what interval is the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: Find the absolute maximum and absolute minimum values of the function: f(x)=5x^7−7x^5−7 on the…

A: We find the critical points by solving f'(x)=0 Use power rule to find f'(x)

Q: 1. Differentiate the following and for each state whether you have used the product rule and/or the…

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Q: Determine the linearization of the function f ( X) = (√4X+ 1)  at x=6. Use that linearization to…

A:

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: 1. Differentiate the function f(x) = (4x + 3)(2x – 5). You may use the substitution u = 4x + 3 and…

A: Solve

Q: 41. 42. f(x) f(x) 3. 2- 1 1 1 -1- 4 -1 -2- Square Root Function

A: It is clear that from given graph

Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) х — 2 are the…

A:

Q: The rate of expenditure for maintenance of a particular machine is given by M'(x) = 12xx +5, where x…

A: Given , the rate of expenditure for maintenance of a particular machineis given by…

Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

A:

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: uan Carlos is using successive approximation to estimate a positive solution for F(x) = g(x), where…

A: Topic:- Functions

Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: 8. Find the domain of the function V7x+8 I. f(x) f (x) = x2+4 20х-10 II. f (x) х2—25 -

A: Given to evaluate Domain of

Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

A:

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: Differentiate the function: k(x) = e^x / x^4 + 1 k'(x) =

A:

Q: x² – 4 when x < 2 X - 2 ax? – bx + 3 2х — а + b f(x) = when 2<x < 3 x2 3 when | 1.Find what values…

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Q: Q2:Find all critical points of the function f(x)=(3x)/[(x^2)+9] Final answers should be ordered…

A: To evaluate the critical point of the following function  f(x) = 3xx2+9

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the time at which concentration will be maximum.

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x+ 2 and g(x) х— 2 are the same…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) x - 2 are the…

A: No, the functions f(x)=x+2 and g(x)=x2-4x-2 are not same in every aspect. Two functions f(x) and…

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: 7. Suppose that the profit from the production and sale of x units of a product is given by p(x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 10. Suppose f() = 3 +1. Find f-(x). %3D x- 7

A:

Q: 8. Consider the quadratic functions: f(x) = -2(x+3)(x-7) and g(x) =(x+3)(x-7). How are they the…

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Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: 1.) Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2?

A: fx=2x3+300x3+4

Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.