5. Which of the following functions f(x, y) are homothetic? 2(xy)? (b) (xy)? +1 (a) (xy)? +1 (c) x² +y³ (d) ety

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: b) following function is defined Determine the point(s) where the g(x, y) =…

A: Given function is: gx,y=-x-34ln4y+6-36x2-36xy-9y2. The function is defined when: gx,y≥0.

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: c) f (x) = v9 – 3x

A: See the solution below.

Q: t(x, y) x² + y?

A:

Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9.

A:

Q: A function f(x) = v1 – x² is

A:

Q: Evaluate the following functions. 1. Iff(x) = x? - 2x +7, find a) f(0), b) f(2y+1). 2. If F(y) = vty…

A: Given:1. fx=x2-2x+72. Fy=yy-32

Q: of and ду of For the function f(x,y) = In (x+ 3y), find

A:

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: 2x+ex-1 +3

A: The function is given as fx=2x+ex-1+3. The derivative of the function is ,  f'x=2+ex-1. Let the…

Q: Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

A:

Q: 3. Find f(x) and f (x) if f(x) = lnx + 2cos³ x. %3D

A: First use sum/difference rule of differentiation f±g=f'±g' then use the following formulae: dln…

Q: Determine and sketch the contour plot for the function f (x, y) at three level curves.

A: Given:                    fx,y=4+2x-4y-x2-y2 To do: Sketch the contour plot for the function fx,y at…

Q: Let f(x, y) = 6x – 7y + 3. Find the following. (a) f(4, –1) (c) f(-5,-3) (b) f(-6, 1) (d) f(0, 7)

A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

A:

Q: Find スeso and its oder for the function f(z) = 1-x +Z + ě. %3D

A:

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: Find fay (1.2) for f (x, y) = x²In(7 + y) +. 35 19 36 36 19 35 36 36

A:

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: 1. Find the domain of f(x) = v2 + 5.x – 3x².

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

A:

Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

A:

Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

A:

Q: 2. Determine fx(x); x² + 1 f (x) = 3x

A:

Q: 1. Identify and sketch the domain of f(x, y) = √y² + 4x + 2 In(1-x² - y²)

A:

Q: Q2: Given the function fa) = {(2,1), (,5), (5, lo)) fo, D(f) , R(fw). Find

A:

Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: 3. Let f (x) = 2x2 – 4. Find the indicated function values. - (a) f(3) (b) f(0) (c) f(-5) (d) f(6b)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…