Find two functions f and g such that (fo g)(x) = h(x). %3D h(x) = V6 - x - V6 %3D

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: x 1 2 Find the values of a and b that make f(x) continuous.

A: Given Data: Function: fx=1x,x<-1ax+b-1≤x<121xx>12 The condition of the given continuous…

Q: a. f,(Xx)=x f2(x)=x² fa(x)=1-2x² b. f,(x)= e3x f2(x)=e5x fg(x)= e=* C. f,(x) = x-1 f2(x) = x'/2…

A: We have to choose the function that is linearly dependent on the given interval

Q: Find the general solution of  f '(x)=(1/x2) , x>0 and f(1)=0

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Q: G' (x) = 2xex + x 2ex, and this is not equal to f (x). However, H'(x) = 2ex + 2xex - 2ex = 2xex = f…

A: Given Data The derivative function is G’(x)=2xeˣ+x2eˣ. The another derivative function is H’(x)=…

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: f(x) = 3x + 5 g(x) = 4x² – 2 %3D h(x) = x² – 3x + 1 Find f(x) - g(x) – h(x). O - 5x + 6x + 6 O -5x +…

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Q: X(1+x²), 0< r<2, f(x) = 0, otherwise

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Q: f(x)=4x+2 g(x)=-x^2+9x-2g(x)=−x2+9x−2 \text{Find: } f(x) \cdot g(x)Find: f(x)⋅g(x)

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Q: Find the value(s) of x for which f(x) = g(x). f(x) = x4 − 2x2, g(x) = 2x2

A: To find the value(s) of x for which f(x)=g(x). f(x)=x4-2x2,g(x)=2x2 Solution:…

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: If f(x)= 2x-and g(x)=3x+1, what is f(x)-g(x)+g(x)²? O8x6+9x2+3x O8x+9x-x O8x+9x2-3x O8x+9x+x

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Q: If f and g are differentiable, then f g is differentiable.

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Q: Given that f(x) = 3x – 1, g(x) = 2x and h(x) = x + 1, determine: a. hgf(x)  b. hgf(-2

A: Given : f(x) = 3x-1             g(x) = 2x             h(x) = x+1  To Find : hgf(x)…

Q: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

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Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x° + 2x)(5x + 2x - 5) C = 0 f'(x) = f'(c)

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Q: If f(x) =3 ln x and g(x) = e2 , find go f(x). %3D

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Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

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Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

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Q: F(x)=e^2x (3x^2-x)

A: see 2nd step

Q: The function f(x) = 2x³ – 21x² + 60x – 7 has two critical values. The smaller one equals and the…

A: The given function is f(x)=2x3-21x2+60x-7

Q: Let h(x)=f(x)/g(x), where f(x)=ln(3x2 +2x+2) and g(x)=−2x. What is h′(x)?

A: Here we use quotient rule, which is pq'=p'q-pq'q2

Q: The functions f and g are defined by f (x) = x² and g(x) 2x, respectively. Which equation is…

A: We have to find function

Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54

A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.

Q: Iff(x) = 1 %3D Зх-1 and g(x) = f-' (x), find g' (x). 1 o g'(x) = -, 3x2 o g(x) %3D뉴 1 2r2 1 o g'(x)…

A: Given f(x)=y=13x-1f-1(x):Replace x with y and solve for yx=13y-13y-1=1x3y=1x+1y=x+13x

Q: X, for x 0

A: We have to draw graph for the given function.

Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

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Q: If h(x) = f²(x) – g²(x), f'(x) = -g(x) and d(x)%3D f(x), then h' (x) is: A B 1

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Q: f (x) = 2x² + 3x – 4, g(x) = 2x – 1. Find (g •f)(x) -

A: Given,          fx=2x2+3x-4          gx=2x-1

Q: Given the functions Ax) = x - and g(x)- x-1- determine an equation for the combined function Ax)- y…

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Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: Find f′(x) and f′(c). Function f(x) = (x3 + 4x)(3x2 + 2x − 5) Value of c = 0

A: Given:fx=x3+4x 3x2+2x-5  To Find: f' (x) and f' (c)

Q: f(x) = 1- 2x and g(x) = 1- x. Find (fo g)(x). %3D 4x - 1 2x 4x 2x - 1

A: Given  f(x)=1-2xand g(x)=1-x

Q: Find f '(x) and f '(c). Function: f(x)=(x4 + 3x)(2x5 + 4x − 2)     Value of c= c=0 f '(x)= f…

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Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: If f and g are polynomial functions in one variable, then c3 ƒ²₂ ƒ³ 8ƒ(³) tan¯¹(g(x))dydx = | -2

A: We need to check whether the following statement is true or false. If f and g are polynomials in one…

Q: f(x) : == - x2, with domain [2, +o) %3D

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Q: x,x 3 (1 – x², x > 2 12x – 7,x < 2 - f(x) =

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Q: A. If f(x) = x + 2x + 1 and g(x) = x² - 3x + 16, find a value of x such that f(x) = g(x). %3D B. If…

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: If h(x) = x²f(x)g(x) and f(– 1) = 2, f'(– 1) = – 3, g(- 1) = - 2, g'(– 1) = 3, then determine the…

A: Derivative

Q: Find f(x) and g(x) such that h(x) = (fo g)(x) and g(x)= 1-8x. h(x) = (1- 8x)3 – 3(1- 8x)2 + 7(1 –…

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Q: Find functionsf and g so that fog=H. H(x) = (7x+5)° x-5 f(x) =7 g(x) =Vx = % %3D C. f(x) = x°, g(x)…

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Q: Find (fog) where f(x) = 2x^2 +x +2 and g(x) = 3x -1

A: We can find the answer as below.

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

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Q: f(x) = and g(x) = f-l (x), find g' (x). %3D 2х-4 o g'(x) = -2 1 2x2 o g'(x) = 27 1 2x2 o g'(x) = -…

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…

Q: Find fogo h. f(x) = g(x) = x³, h(x) = x + 6

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Q: 2xvx2 + 1 Find g(a – 1) if (g ojof•h)(x) where f (x) = x + 1 , %3D x² + 1 h(x) =, and j(x) = Vx .

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Q: If f(x) = 2 - and g(x) = then find (fo g)(3) %3D %3D 1+2

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