Suppose that f and g are two functions with the same domain. If f(x) = g(x) for every x in the domain, the equation is called a(n) _________. Otherwise, it is called a(n)__________ equation.

Q: Use the derivative f′(x)=(x−5)(x+1)(x+5) to determine the local maxima and minima of f and the…

A: f(x) = (3x^4 + 4x^3 + -150x^2 -300x)(1/12)

Q: . Find functions f and g such that f(g(x))g'(x) = 3x² /x³ + 8.

A:

Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: It is strictly increasing function.

Q: (a) On the same set of axes, sketch the graphs of On the same set of axes, sketch the graphs of f(x)…

A: a) Given: fx=x2 and fx=-x2 To find: sketch the graph of the given function on the same set of axis.…

Q: the function g is defined by g(x)=3x2-2  g(2n)=

A:

Q: function g is defined by g (x)=x2-7. Find g(3y)=

A: Here g(x)=x2-7 .................(1) we have to find;  g(3y)=?

Q: 10. If the domain of f(x) is (–∞0,6] and the domain of g(x) is (–9,00), then what is the domain of…

A:

Q: The functions f and g are defined by f: xx-3 and g : x x respectively. Find another function h such…

A: Let us consider three functions f(x) ,g)x) and h(x) then    the function hgf(x) is composite…

Q: determine (algebraically) whether the given function is even, odd, or neither.   G1x2 = 1 - x + x3

A: Given equation: Gx=1-x+x3

Q: In Problem,determine algebraically whether each function is even,odd,or neither.G(x)=√x

A:

Q: If ƒ and g are real-valued functions, how are the domains of ƒ + g, ƒ - g, ƒg, and ƒ/g related to…

A: Consider that f and g to be a real-valued function then the addition, subtraction, product and…

Q: a) Sketch the graph of a function f for which f(x)>0 and f'(x)>0 for all x. b) Sketch the graph of a…

A: If we have to draw the graph of a function of a differentiable function then it must be continuous…

Q: 20. Determine algebraically whether the function 5x f(x) = x - 9 is even, odd, or neither.

A: Given f(x)=5xx2-9 If f(-x)=-f(x), then the function is said to be odd function. If f(-x)=f(x), then…

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

A: Consider the function fx=x3+5x2-8x+1 Here, the objective is to find the intervals of increase of the…

Q: snip

A: Given that the domain of a one-to-one function g is 0,15 and its range is 0,8. To find the domain…

Q: The function h is defined by h (x) = 2x+4. Find h (x-3). h (x - 3) = [|

A:

Q: 76. If f'(x) = 0 for all x in the domain of f, then ƒ is a constant function. %3D

A:

Q: snip

A: Substitution method is the method in which the known value is substituted with the variable in the…

Q: Find f+g , f-g , ƒ•g, for functions x+1 ) ==", g(x)=-. State the domain of each of these functions.…

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Q: he domain and range of the following function f (x) = x+1 is : x-1

A: Given that  f(x)=√(x+1)/(x-1) To find the range and domain

Q: A function of f is given. Find f^-1 f(x)=√x+1

A: Given that the function is         f(x) = √x + 1 Here we have to find the inverse of f i.e., f-1.

Q: both an even and odd number function, then show that f(x)=0 at each point in its domain

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Q: - a. Given g(x) -x* + |3x), find g(-x). b. Is g(-x) = g(x)? c. Is this function even, odd, or…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe-x²/98…

A:

Q: 1. A state charges polluters an annual fee of $20 per ton, for each ton of pollutant emitted into…

A: Given, A state charges polluters an annual fee of $20 per ton, up to a maximum of 4,000 tons. No…

Q: f(x) = x4 + 5x2 − 1 is an even function. Give an example of an odd function.

A: Even function:A function f (x) is said to be even, if f (x) = f(–x).Odd function:A function f (x) is…

Q: If g(x) is an odd function defined for all values of x, can anything be said about g(0)? Give…

A: It is given that g(x) is the odd function defined for all values of x when g (–x) = –g(x).Now,

Q: a) Sketch the graph of a function that is concave up for x 2 and is always decreasing. b) Sketch…

A:

Q: The domain of a one-to-one function g is [0, 15] , and its range is (0, 8). State the domain and the…

A: The domain of a one-to-one function g is 0, 15 and its range is 0, 8.

Q: The function g is related to one of the parent functions described in ah earller g(x) = |x – 1| + 5

A:

Q: A function g is given by g(x) = x2 – 3. Find g(-1) , g(0), g(a + h) , and g(x+h)-g(x)/h

A: Consider the given function. Find the value of the function for x = -1, 0.

Q: 13. Determine algebraically whether g(x)= is an even function, an odd function, or neither.

A:

Q: -- Let the function f(x) have the property that f' (x) = x+1 If g(x) = f(x²) find g' (x). х-5 g'(x)…

A: Simply use the chain rule of derivative .

Q: The graph of f is shown in the figure. Sketch a graph of the derivative of f

A: Given graph is,

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = √(x - 2),…

A:

Q: 11. Determine algebraically whether the function is even, odd or neith g(x) = x2 +3

A:

Q: Find all values of x for which the graph of f lies above the graph of g.f(x)=1/x, g(x)=1/x-1

A: Given: f(x)=1xg(x)=1x−1

Q: let f(x)=-2x^2-x, and let g(x)=f(x)-f(-1)/x+1, x not equal to -1. find g(10).

A:

Q: Let h(x) = f(x)g(x). If f(x) = 2x² +1, g(1) = 0, and g'(1) = –1, what is h' (1)? Do not include "h'…

A: Given, h(x) = f(x)g(x) f(x) = 2x2 +1 g(1) = 0 g'(1) = -1 now we have to find h'(1)

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: f(x)=x2(x+2)(x-1)2(x-2)

Q: Function g(x) = ax + b is a one-to-one function if a is not zero, but it is not a one-to-one…

A:

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 2 + 1/x,…

A: Given fx=2+1x and gx=1x

Q: If g(x) is an odd function defined for all values of x, can anything be said about g(o)? Give…

A: Consider the function tx  The function tx is an odd function We know that if the function is an odd…

Q: Find F as a function of x and evaluate it at x = 2, x = 4, and x = 6. F) - [- Part 1 of 8

A:

Q: 12. Find all values of x such that f(x) > 0 and all x such that f(x) <0, and then sketch the graph…

A:

Q: Scetch the graph of f   f(x) = 2-x    if x1

A: Given, f(x) = 2-x    if x ≤ 1 f(x) = x2-2x+2   if  x &gt;1

Q: The graph of f', the derivative of the function f, is shown below. Determine all intervals on which…

A: Solved below