Determine whether the given function is linear. If the function is linear, express the function in the form  f(x) = ax + b.  (If the function is not linear, enter NOT LINEAR.) f(x) = 1/2(x − 3) f(x) =

Q: How do I solve this problem? f(x) is a linear function, such that f(−4)=−2 and f(3)=26. Find an…

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Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function f(g[h(1)]) without finding an…

A: The given functions are To solve the function First find the value of h(1)

Q: The temperature T in degrees Fahrenheit is approximately a linear function of the number C of…

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Q: When the Celsius temperature is 20°, the corresponding Fahrenheit temperature is 68°. When the…

A: topic - linear function

Q: f(x) = V2x + 6

A: Given function is, f(x) = 2x+63=(2x+6)13 Tangent line of the function at x = 1 is given by,…

Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3 x =  units

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Q: If a and b are positive numbers, find the maximum value of f(x) = xa(3 − x)b on the interval 0 ≤ x…

A: Please see the explanation below

Q: f(x) = 1– 2x – x2

A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate…

Q: set of information, find a linear equation  f(x)  satisfying the conditions

A: Please refer to the image below

Q: R = 840x + 207x² – x³ X = units

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Q: Solve for g'(x).

A: Theorem used:

Q: Find the zero of the linear function: (a)  f(x)=x (b)  f(x)=x−6 (c)  f(x)=x+5

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Q: Solve for x x'(t)=x-t

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Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

Q: An electric power plant uses solid waste for fuel in the production of electricity. The cost C in…

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Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an…

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: Find the zero of the linear function. f(x)=3/4x-18

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Q: Select all the functions that are a solution of y" - y = 0

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Q: Solvel 3+3x =f(x) where f(x) 12 %3D

A: Given3+3x=f(x)where f(x)=12

Q: folve for x (2x)/(x+5)- (x^(2)-x-10)/(x^(2)-8x+15)=(3)/(x+3)

A: Given, 2xx+5-x2-x-10x2-8x+15=3x+3

Q: In 2005, it took 19.53 currency units to equal the value of 1 currency unit in 1911. In 1990, it…

A: Given,

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ – 12x² – 27x + 10

A: to find the critical points take derivative=0

Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

A: Given  cost function   C(x) =200+7x+0.0001 x2and demand   p(x) = 11-0.0004x

Q: f(x)=2x2  g(x)=5x+7 (gof)(x)=

A: Given ,  f(x)=2x2  g(x)=5x + 7 We have to find (gof)(x)

Q: The x-intercept of the linear function f(x) 10x + 18 is

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Q: In 2005, it took 20.36 currency units to equal the value of 1 currency unit in 1917. In 1990, it…

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Q: Find a possible formula for the linear function h(x) if h(-30)=90 and h(20)=-10

A: This question can be solved using the concept of general equation of linear function.

Q: Using the linearization of f(x)=4, Approximate the value of 1/5

A: Solution

Q: Find the minimum value or maximum value of (a) f(x) = 4x^2 + 16x - 3 and (b) h(x) = -x^2 + 5x + 9.…

A: f(x)=4x2+16x-3 The value of a=4 that is positive So we will get minimum value find out vertex we get…

Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (f ∘ g)(0) without finding an…

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Q: find an equation for the linear function with the given values.

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Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x2 – 4x – 2…

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Q: One linear function is given by f(x)=5x−2. A second linear function, g(x), passes through the points…

A: The y-intercept of a graph is the point where the graph crosses the y-axis.

Q: Solve the giv '= .3 X x³ - 2y

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Q: f(x) = x ^ 2 + 3x - 2, findf * (- 2)

A: given that  F(x) = x2+3x-2.        ----------(1) And we have to find f'(-2)  For this we first need…

Q: The x-intercept of the linear function f(x) = 9x + 18 is

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Q: Use (f(a+h)-f(a))/h to find and solve f(x)=2x^3-x^2+1

A: The given function Use the formula

Q: In 2005, it took 17.87 currency units to equal the value of 1 currency unit in 1919. In 1990, it…

A: Calculation:Since the number of years between 2008 and 1990 is 18. the value of x is 18.

Q: A firm can produce only 2,900 units per month. The monthly total cost is given C(x) = 400 + 200x…

A: first we will calculate the profit by using the formula  profit=revenue -cost here, we have been…

Q: Given that 2x ax + 4 C then find the solution x and enter your answer as a function of a, b, c in…

A: Using cross multiplication.

Q: A small town has two local high schools. High School A currently has 600 students and is projected…

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Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: Find the value of b that gives the function the given maximum value.f (x) = -x2 + bx + 2; maximum…

A: Consider the function  Maximum value=6

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

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Q: In February 2021 in Oregon,there were about 78,000 people completely vaccinated. In April 2011 in…

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Q: Find values of x where f(x)=2x3 – x +5 and g(x)=x2-8 have same slope.

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Q: Find the domain: 1.) x2 – y² ± 0

A: First we consider the given function is equal to a constant number which is not equal to zero and…