Express the given function h as a composition of two functions f and g so that h(x) = (f o g)(x), where one of the functions is x° -6. h(x) = Vx³ - € .... f(x) = x 7. (Simplify your answer.) g(x) = (Simplify your answer.)

Q: I find (fo g)(x) by replacing each occurrence of x in the equation for – with,

A: To find:                    (f o g)(x):   We know that this is the composite function;   So,…

Q: Find the convolution f (t ) *g(t) f(t)=t,g(t)=1

A: By definition of convolution we have

Q: 3 Find g'(t) for the function g(t) = %3D gʻ(t) =

A: Given the function is g(t)=3t3 . We have to find  g'(t) .

Q: Two runners start a race at the same time and finish in a tie. Prove that at some time during the…

A: Let f(t) be the position of runner 1 and g(t) be the position of runner 2. f(0)=g(0) and f(1)=g(1)…

Q: In  the given equation as follows , determine whether the statement is true or false. If it is…

A: If y is a function of t and x is a function of t, then y is a function of x

Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

A:

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27 L(x) =

A: The linearization of the function fx at x=a is Lx=fa+f'ax-a

Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

A: Given: fx,y=lnxy-1y-x2 to find the domain and sketch the domain of the function.  The domain is the…

Q: 4. Find three functions f, g,h that satisfy: f(g(h(x)))= +2 Vx?

A: Given,             fghx=1x2+2

Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: Q3) A) If you have three functions: f(x) = x² – x %3D g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x)…

A:

Q: Find all possible functions with the given derivatives. a. y'=7x^6 b. y'= 7x^6 c. y'=8x^7-7x^6-7

A:

Q: 1. Find and sketch the domain of the function z = f(x, y) = Vx² + y² – 6x – 27. Then sketch the…

A:

Q: (b) Given f(x)=9x – 6x² + x. Find F(x) dx in the form a In|g(x) + h(x)], where a is a constant

A:

Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, co0) b. (-∞, 1] U [3,…

A:

Q: Q3) A) If you have three functions: f (x) = x² – x %3D | g(x) = 3x – 1 %3| w(x) = x² – 2 So, find…

A:

Q: Suppose that f"x) = *> 0, f'(1) = -1, and f(e) = 3. Find f(e*). %3D %3D %3D

A:

Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

A: Given function are f(x) = sin x   and g(x) = x2 We have to find the value gfπ4

Q: 1. Find and sketch the domain of the function z = f(x,y) = Vx² + y² – 6x – 27. Then sketch the trace…

A: Given: The given function is z=fx,y=x2+y2-6x-27

Q: Let a + 0 be a constant. Give an example of a function y = f(x) for which ay – y' = 0 and g?y – y" =…

A:

Q: Find the composition of the function. 1 s(2) = and Find g(f(x)). ww. 16

A: The given functions,      fx=1x2 and gx=1x4

Q: 1. Find and sketch the domain of the function z = f(x, y) = Vx² + y² – 6x – 27. Then sketch the…

A: Solution: The given function is z=fx,y=x2+y2-6x-27 We have to find and sketch the domain of z=fx,y.

Q: Find x' for x(t) defined implicitly by x° +t°x+t +4 = 0 and then evaluate x' at the point (- 2,2).…

A:

Q: Q1: Find and : for the function ax af ду f(x, y) = x+y %3D y2+x3

A:

Q: Two runners start a race at the same time and finish in a tie after 5 minutes. Prove that at some…

A: Suppose gt and  ht be the positions of the first and second runners at the time t respectively.…

Q: The value of b for which the function f (x) = sin x- bx + c is decreasing for x E R is given by (a)…

A: Given function is f(x)=sinx-bx+c differentiating with respect to x we have, f'(x)=ddx(sinx-bx+c)…

Q: 2. Given the function f(x) = sinx and g(x) = x*, find the value of g(f

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the linearization L(x) of the function at a. f(x) = x³ - x² + 7, a = -3 L(x) =

A: The solution for the above equation is as shown below.

Q: 2 The function f is defined by fo= 2 for 15 2 x> -2. 8. @ find J, fexd dx

A: f(x)=2(x+2)2   for x>-2 We need to find  : ∫1∞f(x) dx

Q: Consider M(x, y)+ N(x, y) · = 0. M and Fy (a) Suppose we can find a function F example of such an…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27

A: Consider the given function

Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

A:

Q: The position of a mysterious object in space is represented by the given function f(x, y) = 2x² +…

A: differentiate the given function with respect to x and y partially ∂f∂x=4x+2y+0+2 =0 ∂f∂y=0+2x+2y+0…

Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: For what values of a, does the function z = x°e¯i satisfy the equation Y Zyy = Zx – Zy ?

A:

Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

A:

Q: The function y=C, e° is the general solution of a) O y"– 2 y' – 3 y = 0 b) O y" +2 y' – 3 y= 0 O y"…

A:

Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: The function h(x) can be expressed in the form f(g(x)), where g(z) = (z+ 4), an I+4 is defined as:

A: Given: h(x)=1x+4 g(x)=(x+4) To find: f(x)

Q: f(x) 10 6 4 2 -27 2л 2. 2, 3,

A:

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: Determine the constant K so that the function f(x, y) = xy sin(x+ fxy-4 fxx - 4fy = f Select one:

A: Introduction: Partial derivatives are derivatives of a function of multiple variables in which all…

Q: Find function y= ga) a 26- Let fcx)= X- 2 so that (fo g9)) = x .

A: The given function is fx=xx-2. The main objective is to find a function y=g(x) such that f∘gx=x. It…

Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: Find the linearization L(X) of the function at a. f(x) = x2/3, a = 64 %3D L(x) =

A:

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

A: