The functions f (x), g(x), and h(x) are defined below. f(x) = -2x g(x) = 2x + 5 h(x) = x² + 3x – 10 CiunlA

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

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

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Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

Q: Use the functions f(x) = x+4 and g(x) = 2-x to find gof -1 %3D

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Q: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

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Q: Find the absolute maximum and minimum values of the function f(x)=7x^2/3 ;[-1,1]

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Q: Find the domain of the function. G(x) = x + 4 / x3 - 4x

A: we have to find the domain of the following,  G(x)=x+4x3-4x

Q: Consider the function f(x) = x¹ − 50x² +11, x¹50x² This function has an absolute minimum value equal…

A: We need to find absolute max. and min. value.

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x2 + 2x,    g(x) = 3x2 - 1

A: Given functions are fx=x2+2x,gx=3x2-1. f+g=x2+2x+3x2-1=4x2+2x-1 Domain of f + g is -∞,∞.

Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 5 - x,    g(x) = x2 - 3x

A: Given, f(x)=5-x  and g(x)=x2-3x To find  f+g, f-g, fg, f/g.

Q: Find the domain of the function : g(x) =1/(x2 + 1) - 1/(x2 - 1).

A: The domain of  rational function is the set of all real numbers except those for which the…

Q: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then what is the value of (f/g)(-2)? Show Work

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Q: Find the local minimum and maximum values of the function    f (x) =  3x4  -4x3 -12 x 2  +5

A: Given function is fx=3x4-4x3-12x2+5. Compute the derivative. f'x=3x4-4x3-12x2+5'=12x3-12x2-24x…

Q: Use the function f(x)=3x2-5x, g(x)=6x-4,h(x)=5-x3 to find the following (h-g)(x)

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

A: The given function is: f(x)=x3-6x2+9x+1

Q: Use the functions f(x) = x + 4 and g(x) = 2 – x3 to find g1 of1 %3D

A: NOTE: Refresh your page if you can't see any equations. . . to find an inverse function,…

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

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Q: Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of…

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Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

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Q: f(x) = 2x + 7 and g(x) = x³ + x + 13 what type of function is (f + g)(x) ?

A: Given: f(x) = 2x + 7 and g(x) = x³ + x + 13 Our task: (f + g)(x) ?

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

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Q: Example: find the extreme values of the function f(x, y) = xy – x² -y² – 2x – 2y + 4

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Q: Find the intervals on which the function f(x)=x3+1x3 is strictly decreasing.

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Q: Use the functions f(x)=4x+1, g(x)=2x2−6x, h(x)=−x2+3x−19.  Find (f - h) (x)

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Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: 2x4 -Vx+x 7xcsc² x+1 Find all functions g such that g'(x)=4sinx+

A: g'x=4sinx+2x4-x+xx-7xcsc2x+1x

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: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

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Q: Use the function f(x) =3x2-5x,g(x)=6x-4,h(x)=5-x3 find the (gof)(x)

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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: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: Find the local maximum and minimum values of the function f(x)=-3x2+4x+5.

A: If second derivative negative then local maximum value

Q: Explain why the function has at least one zero in the given interval.

A: To explain why the given function has at least one zero in the given interval.

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

A: The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years…

Q: Find functions f and g such that h(x) = f(g(x)), when h(x) = (9x³ – 5x)³ – (9x³ – 5x)² + 11.

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Q: (7) The domain of the function f(x) = vx³ – 8 is |

A: Solution

Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

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Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: Find the domain of the function : g(x) = 1 /(x2 + 4) -1/(x2 - 4).

A: Given, gx=1x2+4-1x2-4

Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

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Q: Differentiate the function. g(x) = x 2 (1-2x)

A: Given:gx=x21-2xFormula:ddxxn=nxn-1

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.