The function g(x) is defined as shown. What is the value of g(3)? X-1, -2sx <-1 O 2 O 3 g(x) ={ 2x+3, -1sx< 3 6-x, X2 3 O 14

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

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Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

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Q: The function ƒ defined by, 2x, ifx is rational f (x)= -x+ 27, ifx is irrational continuous only at,…

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Q: The heights of two different projectiles after they are launched are modeled by the f(x) and g(x).…

A: Given, The function f(x) is defined as: fx=-16x2+55x+19 The quadratic function g(x) values are shown…

Q: Find the value of the following function at x = 3 and x = 4. Does the Intermediate Value Theorem…

A: Given: f(x)=-x3+3x2+2x+7. Substitute x=3 and x=4 in f(x). f(3)=-33+332+23+7=13&gt;0…

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

Q: 4. Determine the number of x-intercepts that appear on a graph of each function. a.) f(x) = (x +…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: The function f(x) = 2x ^ 3 - 3x ^ 2 - 36x + 2 has its maxima a

A: Introduction :

Q: 36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate…

A: It can observe here that f(x) is parabolic curve  and g(x) is an straight line. Now let's write the…

Q: A quadratic function f is given. f(x) = x2 + 10x + 24 (a) Express f in standard form. f(x) =

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Q: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

A: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

Q: (8 •h)(x) %3D

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Q: Let h(x)=f(x)g(x). If f(x)=−3x2−4x+2 and g(x)=−x2+3x+2, what is h′(−1)? Do not include "h′(−1)=" in…

A: Calculation of h (x):Using the functions f (x) and g (x), the function h (x) can be obtained as…

Q: 1. a) If f(x) = x-2x + 1 and g(x) =1, find f( g(-2) %3D

A: givenfx=x3-2x+1  and gx=1x2

Q: Determine the values of C for which the function below is continued at the point x=2. Cx²+2x, if x <…

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Q: 1. How many non-real zeros does the function f(x) = x - 2x + 8x-16x have? 1. 0 2. 2 3. 3 4. 4

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Q: Find all values of x by satisfying the given conditions. f(x) = 2x - 5, g(x) = x2 - 3x + 8, and (f ∘…

A: Consider the given functions, fx=2x-5gx=x2-3x+8 the function composition is defined as applying one…

Q: f (x) = x³ - 3x²?+ 3x – 2 оn (— ох, о)

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Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

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Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

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Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: Find all values of x satisfying the given conditions : f(x) = 2x - 5, g(x) = x2 - 3x + 8, and (f ∘…

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Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

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Q: The domain of the function f(x) =D <-20 is x+ 6x + 9 اخترأحد الخيارات a. None O [-5, o]b O (-00,…

A: we have to find the domain for the given function f(x)

Q: 3) "s) Determine the highest real root of f(x) = 3x' +11,8x -17,8x-6 a) Graphically,

A: f(x)=3x3+11.8x2-17.8x-6from below graph, highest real root is x= 1.386

Q: Consider the function G defined by G(x)= 4x^2-5 Solve G(x)=0

A: Given a function G(x)=4x2-5 To solve G(x)=0

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…

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Q: (a) By sketching the graph of the function f(x) = x³ + x² – 1, show that the equation f (x) = 0 has…

A: The root of the equation is 0.755 Also it is evident that it is lying between 0 and 1

Q: Find the range of f(x)=x-5x+6. O (-00, 1/4] O -1/4, co) O (-00, 00)

A: Range of Quadratic Functions Graphically : The range of a function y = f(x) is the set of values y…

Q: Find a function P(x) of least possible degree, having real coefficients, with the given zeros. 03…

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Q: 1) The function f(x) = x3 - 4x-8.95 has a root in [2,3]. O T F

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum?   X=-1 X=0…

A: We have to find for what value x the function g(x) will obtain a maximum value

Q: The graph of f(x) = x4 + x3 - 7x2 - x + 6 is shown below. Use the graph to factor f(x). O A. f(x) =…

A: From the graph, the x-interceptions are at x=-3,-1,1 and 2. so, the roots of the equation f(x)=0 are…

Q: 7. Let f(x) = x³ + 3x – 2. a In view of the fact that f(0) = -2 and f(1) = 2, why would you expect…

A: This is odd degree polynomial so it have range of a real number and.  Imaginary roots comes in .…

Q: The function h(x) 1 can be expressed in the form f(g(x)) where g(x) = (x + 7) and f(x) is x + 7…

A: Given ,  The function h(x) = 1/(x+7) can be express es in the form f(g(x)) where g(x) = (x + 7)  We…

Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

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Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

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Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

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Q: 6) Find the value of c such that {0, c} is 2-cycle such that c be a constant and let the function be…

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Q: Find a function P(x) of least possible degree, having real coefficients, with the given zeros. 16) 3…

A: Given that 7i is a zero of the polynomial P(x). So -7i is also a zero of the polynomial.  So the…

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not…

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Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function

Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

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