y y f(x) y 4 y= g(x) 3- 3+ 2 2, 1 2 1 2 3 4 4,

Q: Let F(x) = f(t) d t, where f is the function whose graph is shown. %3D 2- 3 4. 9, 7 -1+ -2+ 3.

A: Given: F(x)=∫0xf(t) dt Where f is the function whose graph is shown: We have to find where F(x) has…

Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Draw the graph of the function f :R → R defined by f (x) = x3, x∈R.

A: We will make a table for f(x)=x3 x -1 0 1 y -1 0 1

Q: Express the function,h(x) = |3x - 4|as a composition of two functions f and g so that h(x) = (f ∘…

A: h(x) = |3x - 4| To write h(x) as a composition of two functions f and g so that h(x) = (f ∘ g)(x)…

Q: 17) Determine whether f is a function from Z to R 1 a) f(x) = х2—4 b) f(x) = ±x

A:

Q: Consider the functions f(x) = x +7 and g(x) = 27 - x2. (a) Use algebra to find the x-values where…

A: f(x) = x+7g(x) = 27 -x2calculating intersect points :f(x) = g(x)

Q: Let F(x, y) = 2+ /1– y². 1. Evaluate F(3, 1). Answer: F(3, 1) = 2. What is the range of F(x, y)?…

A: The given function is: F(x,y)=2+1-y2

Q: Find the functions f (x), g(x),h(x) that satisfy: f(g(h(x))) = +2 x

A:

Q: 1. Why is f not a function from R to R if a) f(x) = 1/x? b) f(x) = V? c) f(x) = +/(x²+ 1)? %3D %3D

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: Find the domain of the function. h) - 5) X - A) {x|x 0}, or (0, -) B) {x|x 1), or (-, 1) u (1, ) D)…

A:

Q: Consider the function f(a) = \x| on the interval [-2,2). 2 2. Since (-2)-f(2) = 0, there exists a…

A:

Q: 1. Find and sketch the domains of the following functions. (a) f(x,y) = /2x – y (b) f(x, y) = V1 –…

A: Note: As per our company guidelines, we are supposed to answer the first three sub-parts of the…

Q: Describe the domain of the function f(x, y)= In(6+x-y). {(x, y): y<x-6} {(x, y): y 2 0} a. {(x, y):…

A:

Q: Use the graphs of y f(x) and y = g(x) below to find the function value. %3D 4 3 3 2. 2 1 1 3 4 1 2 3…

A: There are two graphs y=fx and y=gx from the graph we findf+g3

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x, g(x) = 2x

A: The given functions are: f(x) = x, g(x) = 2x The sum of these functions is given by: f(x)+g(x)=…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x,       g(x) = √x

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find f+ g, f - g, fg, and f/g and their domains. f(x) = x, g(x) = Vx

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,) (0,1) C (1,0) (2,4)

A:

Q: Let f(x) Determine a function 4 – x | y = g(x) so that f(g(x)) x + 3

A: Given f(x)=x+14-x

Q: domain

A:

Q: What is the domain of the function f (x) : (-1,0) U [1, 00) b. (-1,0] U (1, ∞) c. (-00, –1) U [0,1)…

A:

Q: Let f(x) = 2x - 4. Find a function y = g(x) so that (fo g)(x) = x + 2. %3D

A:

Q: The domain of the function f (x, y) = y-x2 is A) {(x, y)|x 2 y²,y # F2} B) {(x, y)\y > x², x # +2}…

A: For any function y=f(x) the value for f(x)≥0 for the function to exist. The given function is a two…

Q: Use the graphs of f(x) and g(x), shown below, to evaluate the expression. f(g(f(-1))) y y 8 7 6 5 5…

A: Given: The graph of the functions.

Q: Find the domain of the function. f(x, y) = Vy - 2x In(y + 2x) o x > 0, y > 0 o -y 0 ox 2 o x > 0,…

A: Domain of √f(x) is f(x) &gt;= 0 Domain of ln(g(x)) is g(x) &gt; 0

Q: 2. Determine the domain of the function. ア= Nx-2 %3D O {x ɛ R} O {x ɛ R, x 2 2} {y ɛ R, y 2 0} O {y…

A: topic - domain of a function

Q: Express the function f(z) = 4|z – 2| – |z + 2| in piecewise form without using absolute values.…

A: The given function is: f(x)=4x-2-x+2

Q: The domain for the function f(x) = -T is %3D a. x 0 O cx 2

A: Given, f(x)=-x2

Q: 2. Let f a function such that f (-2) = 6, f (0) = – 3, ƒ (3) = 0. Give the coordinates of three…

A: Select the values of x such that  (x + 4) becomes the number for which values of  f(x) are given.

Q: The absolute Extrema of the function f(x) = -V-x² + 3x – 2 on its domain are Select one: a.-글,0 b.…

A: Given function is The function f(x) is defined for the values of x for which

Q: a) Let f:R → R_be a function defined as f(x) = (x + 2)². Determine whether the function is one to…

A: According to our guideline, we can solve only first question of different question, that is multiple…

Q: Find the domain of the function. f(x, y) = Vy- 3x In(y + 3x) -y 3x x > 0, y > 3x x > 0, y > 0 x 3…

A:

Q: Let g(x) = = X-f(x) S(x) , find g'(1),if f(1) = 4 and f'(1) = 2

A: Given that g(x) = -x-f(x)f(x). We have to find the value of g'(1). Given that f(1) =4 and f'(1) =2.…

Q: Find and sketch the domain of the function f(x,y), (sqrt y-x^2)/4-x^2

A: Using the question asking by student  F(x, y) =(√y-x^2) /(4-x^2)  4-x^2(exclude)  √y-x2(need)

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: Let the function f be defined by y = f(x) , where x and f(x) are real numbers. Find f(2), f(-5) f(k)…

A: Explanation: Given that,                      Where, x &amp; f(x) are real numbers.

Q: 5. Find and sketch the domain of the function z = f(x,y) = /2y - x². %3D

A:

Q: Find and sketch the domain of f(x, y) = √√₁ - (x + 1)² − y² + 2ln(x − y + 1)

A:

Q: The domain of the function f(x, y) = is {(x,y) € R? : y 2 -x} Vy+x صواب İhi

A:

Q: 1 a. Find and sketch the domain of f(x, y) = x+ y

A: consider the equation

Q: The graph of f is concave upward on the interval (s) A) 01 (c) x>2 (D x 2

A:

Q: Show that a function f : [0, 1] →R is determined by its graph Gf = {(x, f(x)), x E [0, 1]} C R².

A:

Q: Find and sketch the domain for the function. f(x,y) = / (x2 - 9) (² -4) %3D

A: This is the problem of the domain of a function of several variables.

Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: Find a function y(x) such that y'(x) = x² In(x³) – (x² + 1)¯ and y(1) = 2.

A:

Q: Assume that f'(4)= -7, g'(1)=1/5, g(1)=4, and y=f(g(x)). What is y' at x=1?

A: The given values are f'(4)= -7,  g'(1)=1/5,  g(1)=4 .And the function is y = f ( g ).

Q: Consider the functio f(x) 1 & g(x) = %3D %3D x +1 a. Find (f ° g)(x).

A: a) f∘g(x)=f(g(x))=f1x=1x1x+1=1x1+xx=11+x,   x≠0 (f∘g)(x)=11+x , where x≠0(f∘g)(x)=11+x

Q: Let f(x)=e*+1) > Find f(x). State the domain of f(x) %3D >

A: f(x) = e(x+1) Since f is from R to R+ Hence f-1 is from R+ to R