(2) State and use the appropriate formulae, find the sum of the odd numbers from 1 to 199, inclusive. (3) For the functions f(x) = 3x - 4 and g(x) = x+ 2, find the following and determine the domain in each case: (a) g((f)) (b) fg (c)

Q: Let the function f be defined by the equation y = f(x), where x andf(x)are real numbers. Find the…

A: Explanation of the answer is as follows

Q: The graph of f(x)=-x -5x+6 has the point (2, -6) on it. O True O False

A: We can check the answer is true or false as below

Q: Determine the domain of the function represented by the given equation. (x) =V4-x² A) All real…

A:

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A:

Q: Given f(x) = x2 - 1, x ≤ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same…

A:

Q: value of x does the function f(x)=x^3-3x^3 attain the absolute maximum in the interval

A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

Q: Find the specified domain and express it in interval notation. For f(x) = x2 – 64 and g(x) = 2x +3,…

A:

Q: Let the function f be defined by the equation y = f(x), where x and f(x) are real numbers. Find the…

A: Given function ,   f(x) = x3 -9x + 5

Q: Given the function f(x) = vx-7, (a) Find f (x). (b) Graph f andf in the same rectangular coordinate…

A: (a)Consider the given function:

Q: 5. Find the exact solutions: x²-3x+6=0 6. Given f(x)=x-5 and g(x) = -2x²+ 4, find the composite…

A:

Q: 3. a) Determine algebraically whether the function f(x) = –3x° + 4x² is even, odd, or neither. b)…

A: Please find attachment for the details solution

Q: 2. Determine the point(s) of intersection of the functions  f(x)=4x2-x+5 and g(x)=+41x-91…

A: Given functions f(x)=4x2-x+5                           g(x)=+41x-91  In order to find the…

Q: Let f(x) = x6 + 5x2 -3. Find an interval on which the equation f(x) 0 has a solution. Be sure to…

A: When we have two points connected by a continuous curve: one point below the line the other point…

Q: g(x)=15/x^2−3x−40 Use interval notation to describe the domain

A:

Q: Find the domain of f(x) VI +1 I - 5 Write your answer in interval notation.

A:

Q: Solve f(x) is greater than or equal to x2+6x-7 over x2 -10x + 25    Write answer in interval…

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: f(x) = 2x4 - 144x2 + 4 f'(x) = 8x3 - 288x = 8x(x2 - 36) = 8x(x - 6)(x + 6)

Q: Can you help me find the x-coordinates of the absolute max and min given the equation:  f(x) = -10…

A: Consider the given function, fx=-10-5x-9x differentiate the function with respect to x,…

Q: 56. For the function g shown to the right, find all x-values for which g(x) = 1. -3 -2 -!

A: The given graph of the function g(x) is:

Q: find f -1(a) for thefunction f and real number a. f(x)=x^{3}+2 x-1 \quad a=2

A: Given, f(x)=x3+2x−1,a=2⇒f−1f(x)=f−1x3+2x−1⇒x=f−1x3+2x−1⇒x=f−1a…

Q: Find the domain of the function using interval notation.   f (x) = -2x (x-2) (x-7)    For this…

A: Given function,  f(x)=-2x(x-2)(x-7) we have to find the domain if the given function using interval…

Q: Given the function f(x) = (x- 14)², xs 14, (a) Find f (x). (b) Graph f and f1 in the same…

A: Consider the given: fx=x−142,x≤14Let,y=x−142For…

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

A: Solutions of an equation f(x)=0 are called zeros of the function. A degree n polynomial has at most…

Q: Find Find the domain of G(x). (Enter your answer using interval notation.) (-0,0) U (0,00)

A: To find: The domain of fgx. Given: The function is fx=5x+6 and gx=xx+6. Concept used: The set of…

Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: Given f(x) = x3 + 1  a. Find an equation for f -1(x). b. Graph f and f -1 in the same rectangular…

A: Given function is fx=x3+1. (a)To find an equation for f-1x. Given function can be written as y=x3+1…

Q: 2. Find the domain and range of f(x) = Express your answer using set notation. x+7

A: GIVEN: f(x) = 2x + 7

Q: Solve the possible root of the function f(x) = 5x³ - 12.71x? +14.5x - 9 Use interval [1, 2]. Use…

A:

Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

A:

Q: x – 3 f(x) = x + 4 2: Determine the open intervals on which the function is increasing and on which…

A:

Q: 1-x f(x) 三 x2 – 4

A:

Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: 2x+8 -5<x<-1 5. Find all x-intercepts of the function g(x)={-x-4 -15x<1 algebraically. Justify your…

A: Given a function,  gx=2x+8        -5≤x&lt;-1-12x-4      -1≤x&lt;1-4x+10        1≤x≤4 To determine…

Q: (b) Find the intervals in which the function is increasing and in which the function is decreasing.…

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

Q: Find the set of values of b so that the function f:R→R given by 21-4b - b? f (x) = | 1- x³ +5x + a,b…

A: B belongs to [2,3]

Q: I+ 4 Give the domain for h(x) = in interval notation. x2 6x 27

A:

Q: 19. Find the domain and range of f(x) = 2e-x +1

A:

Q: ind the domain of the function. (enter your using interval notation) g(x)=square root of x^2-6x-16

A:

Q: Let the function f be defined by the equation y = f(x), where x and f(x)are real numbers. Find the…

A:

Q: find the values of x that make the function greater than or equal to zero.

A: Consider the given function, Rx=x-3x+2 For Rx≥0, x-3x+2≥0 Point of singularity, x = -2 Boundary…

Q: Solve the possible root of the function f(x) = 5x³ - 12.71x² +14.5x - 9 Use interval [1, 2]. Use…

A: Given : f(x) = 5x3-12.71x2+14.5x-9 Answer should be in this interval [ 1 , 2 ] And upto 4 decimal…

Q: find all real values of x such that f(x)=-6x-9/2

A:

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x+4, g(x) = 2x - 7x-4 ... (fo g)(x) =…

A: As we know from the definition of composite function; fogx=fgxgofx=gfxfofx=ffx   Given: fx=x+4,…

Q: Find all real values of x for which  f(x) = 0.  (Enter your answers as a comma-separated list.)…

A:

Q: Find the differnce quotient with steps  use the function f(x)= x^2-16 and using formula…

A: Given that f(x)=x^2-16 differnce quotient f(x+h)-f(x)/h

Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

Q: [1] A function f has the set of real numbers as its domain, and it satisfies the equation…

A:

Q: Let f(x)= x2-3x+5 and evaluate f(3). Please show your steps taken to solve for f(3). My answer:…

A: To substitute the given input in the given expression to find its value

Q: 54. Find f(x) if f(x) = 1/(2 - x).

A:

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.