1,744 Answered Questions for the topic Functions
Evaluate each function at the indicated values of the independent variable and simplify the result
1. f(x) = 7 - 6xa.) f(-1)b.) f(-a)c.) f(-3+x)2. g(x) = x2 - 3xa.) g(2)b.) g(a+b)c.) g(2-x)3. h(x) = 4x a.) h(3)b.) h(5)c.) h(1/2)
Functions
03/29/22
A stone is thrown from the top of a bridge into a lake below such that its height
A stone is thrown from the top of a bridge into a lake below such that its height, h, inmetres, from the lake’s surface, can be modelled by the function h(t) = –4.9t^2 – 8t + 60a) What is the...
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Functions
03/28/22
Inverse of functions
Given that f(−7) = −3 and f'(x) ≤ 2, what is the largest possible value of f(0) if f(x) is given as a simple polynomial? (b) Show that f(x) = x^3 −7x^2 +25x+8 has exactly one real root. (c)...
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03/23/22
Determine the value for A and B
Determine the value for A and B such that A / x+1 + B / 3x+2 simplifies to 2x-1 / (x+1)(3x+2)
03/20/22
Discreete math functions
Let A, B be sets and f : A → B a function between them. Let also C, D ⊆ A and E, F ⊆ B be subsets. Prove the following. 1. f(C ∩ D) ⊆ f(C) ∩ f(D) 2. f−1(E ∩ F) = f−1(E) ∩ f−1(F)3. f−1(C) \...
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Please help!! I cant find the last two
For each pair of functions, find and . Determine the domain of and the domain of . Show your work4. and 5. and
how do i find if a transition is smooth between two functions using derivatives?
i have two functionsone is an ex function f(x) = -ex+46.46 {-4 < x < 0} . the derivative is -exthe second is a straight line f(x)= -1.32x+45.46 {0 < x < 16.84}. the derivative is...
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Please help!! I cant find the domains
For each pair of functions, find and . Determine the domain of and the domain of . Show your work.1. and 2. and 3. and 4. and 5. and
Please help!! I cant find the domains
For each pair of functions, find and . Determine the domain of and the domain of . Show your work.1. and 2. and 3. and 4. and 5. and
Which of the following defines a function on a given domain?
Which of the following defines a function on a given domain?a. f(x) = x/x+3' domain = {1,2, - 3, - 6}b. f(x)= sqrt{x-3}; domain= {3,4,0} c. f(x)- x/1-3√x ; domain = {1,2,3}d. f(x)= sqrt{x-5} ;...
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Functions
03/16/22
A company’s yearly total production cost C is typically given by C = C(n) = F + cn
A company’s yearly total production cost C is typically given by C = C(n) = F + cn, where F is fixed cost and cn, the variable cost, is cost per item, c, times the number of items produced, n. If,...
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Given f(x)=x^3 and g(x)=4x+3, find g(f(3))
Given f(x)=x^3 and g(x)=4x+3, find g(f(3))a. g(f(3))=108b. g(f(3))=3,375c. g(f(3))=111d. g(f(3))=405
Please answer this question in detail!
f(x) = 6x^2 -12x +1 and g(x) = -x+cgiven that (gof)(x) ≤ 0, for x is all real numbers, find the values for c
Functions
03/13/22
Determine the Function
Determine the function described and then use it to answer the question.The surface area, A, of a cylinder in terms of its radius, r, and height, h, is given by A = 2𝜋r2 + 2𝜋rh. If the height of...
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03/11/22
The length of a rectangle is five times greater than the width, w. What is the ratio of the area of the rectangle to the perimeter of the rectangle in simplest form?
The length of a rectangle is five times greater than the width, w. What is the ratio of the area of the rectangle to the perimeter of the rectangle in simplest form?
A rectangular poster has an...
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application problem with a linear function
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes ). When graphed, the function gives a line with a slope of -0.15. There is...
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03/07/22
What does this question mean? Determine the intervals where f(x) > o and where f(x) < o
What does this question mean? Determine the intervals where f(x) > o and where f(x) < o
Finding local maxima and minima of a function given the graph
Here is a graph of the function g.Use the graph to find the following.If there is more than one answer, separate them with commas.A. All local minimum values of g;B. All values at which g has a...
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Composition of two functions: Basic
Suppose that the functions p and q are defined as follows.p(x) = −3x + 1q(x) =−5x - 1Find the following.(p times q)(-4) = ?(q times p)(-4) = ?
Functions Algebra 2
03/02/22
Composite Function Question
Given the functions f(x) = 3x2 - 7x and g (x) = x-6 find g(f(-5))
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