Suppose that the functionf is defined, for all real numbers, as follows. if x<-2 f(x) =< (x+1)-2 if-22 Find f(-5), f(-2), and f(1). s(-5) = O s(-2) = 0 %3D (1) = D %3D

Q: Suppose that the function f is defined, for all real numbers, as follows. if x<-2 f(x) =< - (x-1)²+2…

A: The given data in the question is -                                                 f(x) = 3 if…

Q: a) If g(x) = 2x + 10 and h(x) = 3x - 2, 3 Find: - g[h(x)] = and express in its simplest form b) If…

A: Since in the given question in part (b) you asked for g inverse but there is a function f so, we…

Q: Prove that the function given by f(x) =x3-3x2+3x-100 is increasing in R

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Q: Suppose that the function g is defined, for all real numbers, as follows. --x²+5 if x + 1 g (x) -3…

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Q: Suppose that the function g is defined, for all real numbers, as follows. -4 if x 2 Find g (-4),…

A: NOTE: Refresh your page if you can't see any equations. . for g(-4), here x=-4 which lies on the…

Q: If f1(x) and f2(x) are functions from the set of positive integers to the set of positive real…

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Q: The function (f/g)(x) is defined for all values of x that are in the domain(s) of  both f and g, and…

A: The denominator can not be equal to 0  Because any constant divided by 0 is undefined

Q: Suppose that the function f is defined, for all real numbers, as follows. 1 1 if x2 Find f(1), f(2),…

A: f(x) = (−1/4)x − 1 if x≤ −2       = -(x+1)² +3    if −1&lt;x≤2       = −2                 if x&gt;2

Q: If f(x) = x²-3x-10 x²+4x–45 and g(x) = x+9 %3D , find (f · g)(x) and any domain restrictions for (f…

A: According to question given:f(x)=x2-3x-10x2+4x-45, g(x)=x+9x+6We have to solkve for the f·gx

Q: Find f such that the given conditions are satisfied. f'(x) = x - , f(0) = 8 f(x) = =x3/2 - 2x + 8…

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Q: Suppose that the function f is defined, for all real numbers, as follows. if x1 Find f(-2), f(-1),…

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Q: Let k be a positive integer. How many distinct functions are of the form g : [1..k] → [1..2k] such…

A: A function is defined when each value in the domain has exactly one value in the range. A…

Q: Find the value of k that makes f(x) continuous for all real numbers. { 32-4 x 5 | Ok = 10 Ok = 3 Ok…

A: Given F(x) = {3 (x-4), x&lt;5             2 x2 -x x +3, x&gt;5} We have to find the value of x that…

Q: Prove that the function f(x) = x3-3x2+3x-100 is increasing on R

A: Given function is : f(x) = x3-3x2+3x-100 We have to prove that f(x) is increasing on R

Q: Suppose that the function g is defined, for all real numbers, as follows. 1-1/v x-2 if x #2 4 g(x) =…

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Q: Suppose that p(x) = {24 + x, if x< 2) | 1+x², if x 2 2 Find a value of A such that the function p(x)…

A: Given query is to find the value of A.

Q: Suppose that the functionf is defined for all real numbers as follows. +1 if x1 Graph the function…

A: Given :   Fx = x2+1              x&lt;12                     x=18-3x              x&gt;1 To find :…

Q: Suppose that the function f is defined, for all real numbers, as follows. 4 if x2 Find f (-2),…

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Q: Suppose that the function g is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5<x< -1.5 -1…

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Q: Suppose that the function g is defined, for all real m -2 if x#2 g (x) = < 4 if x=2 Find g(-2),…

A: topic - functions

Q: Suppose that the function g is defined as follows. -3 if - 3.5 <xs-2.5 -2 if - 2.5<xs-1.5 g(x) = {…

A: Given function is as below :…

Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: 2) Suppose that P is a function defined as P(x) = 4x² - 7x + k, where k is some positive real…

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Q: Find all values of k that would make the function f(x) continuous at x = such values of k exist,…

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Q: The graph of the function f(x) = -x³ + 18.x² – 8 is concave upward on o (3,5) None of these o (3,7)…

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Q: Suppose that the functiong is defined, for all real numbers, as follows. +5 if x # 2 4 8 (r) = - if…

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Q: Suppose that the function h is defined, for all real numbers, as follows. 1if x#-1 h (x) = - 2 if x…

A: Topic = Function

Q: Suppose that the function h is defined, for all real numbers, as follows. 1 *-2 if x2 4 Find h(-1,,…

A: The given function is,h(x)=-14x-2if x&lt;-1(x+1)2-2if -1≤x≤2-14x+2if x&gt;2

Q: ollows. h (x) = 1/4x +1     if x 2 Find (0), h (2), and h (5).

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Q: Suppose that the function f is defined, for all real numbers, as follows. 1 if x 1 Find f(-2),…

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Q: Suppose that the functionf is defined, for all real numbers, as follows. 4 if x#0 S(x)= - 1 if x=0…

A: topic - graph of a function

Q: Suppose that the function f is defined, for all real numbers, as follows. if x<-1 f(x) = -(x+1) if…

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Q: Find the least integer n such that f (x) is O(x") for following function. f(x) = 17x +10x³

A: Given function is fx=17x4+10x3 We have to find the least integer n such that fx is Oxn. Since, the…

Q: Suppose that the functionh is defined, for all real numbers, as follows. +5 if x -1 h (x) =' if x=-1…

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Q: Suppose that the function f(x)= qx<+4x-6 satisfies the necessary conditions of Rolle's theorem in…

A: The given function is f(x)=qx2+4x-6 ....................................... (1)  Satisfied the…

Q: Suppose that f(0) = 2 and f'(x) < 6 for all values of r. Use the Mean Value Theorem to determine how…

A: topic - mean value theorem

Q: Suppose that the function f is defined, for all real numbers, as follows. 0. if x-1

A: The given function is  To graph it

Q: Suppose that the function h is defined, for all real numbers, as follows. --x+5 if x #1 h(x)= 31 -3…

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Q: Suppose that the function h is defined, for all real numbers, as follows. --x²+5 if x # -1 h(x)=< 4…

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Q: Compute f' (a) algebraically for a = -4. f (x) = -x² – 21 O f' (-4) = 8 O f' (-4) = 24 O f' (-4) =…

A: Derivate f(x) with respect x and then put x=-4

Q: if x2

A: Given that, The function is define following, f(x)=4if x≤-1(x+1)2-2if -1&lt;x≤2-12x-1if x&gt;2 We…

Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

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Q: Consider the following. 3x* - 8x3 + 9 = 0, [2, 3] (a) Explain how we know that the given equation…

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Q: - 4x³| [x-2x] ,1s x<2 Os x<1 Let f(x) = Then discuss the differentiability of f(x) in (0,2) Here []…

A: Given that: f(x)=|1-4x2| ,    0≤x&lt;1[x2-2x] ,      1≤x&lt;2

Q: Suppose that the function /i is defined, for all real numbers, as follows. 2 ifx+-2 h (x) = -2 if…

A: Given function is: hx=14x-2if x≠-2-2if x=-2 To find: h-5, h-2 and h0. Solution: If x=-5 then…

Q: Suppose that f(0) = -5 and f'(x) < 4 for all values of x. Use the Mean Value Theorem to determine…

A: Question- Suppose that f(0) = - 5 and f'(x)&lt;=4 for all values of x. Use the Mean Value Theorem to…

Q: Suppose that the function f is defined, for all real numbers, as follows. 1 4 if x 1 f(x) = < - 2 if…

A: Here definition of a function is given and the function is defined for all real numbers. We have to…

Q: For f(x)=2x3+4x2+3x-7, prove that there exist a number k such that f(k)=20.

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Q: Suppose that g (x) is a function that is defined and differentiable for all real numbers x and that…

A: Given information: The value of g(0)=3, g'(0)=-34, g(5)=4 and g'(5)=4and g(x) is concave up for…