Consider the functions: f (x) = 3x – 1; g(x) = 1– 2x Compute fo g(-26) exactly

Q: Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

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Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(1−3x)^2

A: f(x)= x²

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: The function f(x, y) = -3y + 2√√ry is a

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Q: =V find f(x). 3/ x7 For the function f (x) = ,find f-1 (x).

A: Given function,f(x)=x753 ,we have to find f-1(x)

Q: Find the domain of the function. 29) f (x) = v25 – x2 30) f (x) = 3x + 4 31) h(x) 32) h(t) = |t + 1|…

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Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

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Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

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Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: Find the domain of the function:f(t) =∛(t + 4)

A: Given function is: ft=t+43 We have to find the domain of f(t).

Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

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Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

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Q: The function f(x) =x -x² – 2x – 1 is increasing over: %3D

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Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

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Q: Find the inverse 0f             y =f(x)= x2, if x ≥ 0. Graph f and f -1.

A: A function g is the inverse of function f if for y=fx,  x=gy Inverse of x2:y=x2Replace x and…

Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

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Q: F(x) =/4 – Vx

A: Given data is : fx=4-x     To find domain and range of function fx

Q: 2. Derive. f(x) = e*xe

A: To find the derivative of: f(x)=exxe

Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

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Q: Consider the function f(x, y) = x² + xy - 5x- y+1. Then:

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Q: Find f ◦ g ◦ h where f(x) = |x − 4|, g(x) = 2x , and h(x) = √ x.

A: We have given f(x), g(x), h(x)  We have to find fogoh

Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: Find the zero(s) of the function algebraically. f(x) = 2x + 18

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Q: = x, find (f o g-3). Given that f(x)=2x+3 and g(x) (fo gX-3)-

A: (fog)(-3)=f(g(-3))

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2

Q: Find  f' in terms of g' .

A:

Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

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Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: What is the domain of the function f(x) = %3D 5" Vn n-1

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Q: Express the function H(x) = |7/x - 2 in the form fo g. g(x) = %3D f(x) =

A: H(x) = [7x -2] so here find f*g(x) form here g(x) = 7x -2 and f(x) = [x]

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

Q: -3x Find f (x) given that f'(x)=x' +2-e* at (0,-1).

A: