10) For the function f(x)- x-4 a) Find f(-3) and f(a+1) b) Find the domain

Q: For the value of x does the function F(x) = x3 - 3x2 attain the absolute maximum in the interval…

A: For absolute maximum and minimum we need to calculate the value of f (x) on critical points and…

Q: What is the domain of the function g(x)=x2-3 use interval notation

A: Given: gx=x2-3 The domain of a function g(x) is the set of all values for which the function is…

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

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Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: Find The value of K, to Continue The function X-2 f(x)= 4-JI4+X メ+23 - %3D メ=2

A:

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: 5. For the quadratic function f(x) = 5x² – 3x + 1, what is f(3)? %3D

A: f(x) = 5x2 - 3x + 1 f(3) means the value of the function when x = 3 f(3) = 5·32 - 3·3 + 1 f(3) = 5·9…

Q: Determine the value of f(3) if f(x)=60 (1-e^-0.1t).

A: Given query is to find the value of f(3).

Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

A:

Q: The range of 4x +y = 4 is Blank 1 (Use interval notation) +y2 =

A:

Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

Q: 16. What is the range of the function f(x) = 9 + 6x for the domain {-2, 0, 2, 4}?

A:

Q: g(x) = v2 – 3x %3D

A:

Q: 5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c-…

A: Given problem:-

Q: Q1// B :-find and sketch the Domain of f(x,y)=v(x-4)+y -9 + 4-x-y

A: Let's find.

Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: We have to find Absolute Maximum in the interval [-1,4] by Second Derivative Test.

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: Find the absolute extrema of the function f(x) = x* - 72x + 1296 on the interval [-7,7].

A: To find: The absolute extremum of the given function

Q: For the function: f(x) = 31 + 3z2. %3D (a) identify the end behavior of the graph, (b) additional…

A: We have to find the nature of the given function then sketch the graph

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: The functionf(x)=5x−1 f ( x ) = 5 x - 1 is shown on the coordinate plane. Which statement is true?

A: A limit in which f(x) increases or decreases without bound as the value of x approaches an arbitrary…

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find f- (x) for f (x) = 1+ 8x. Enter the exact answer.

A:

Q: Find the third degree function that has zeros 7 and -11i, and a value of 663 when x=10

A:

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

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: 7. Find the domain of f(x) = V² + 2x – 3 and write it in interval notation.

A: The solution is given below.

Q: The domain of the function f(x)= sech-1(21 - ) is [380, A), Then The value of k = The value of A =

A: Given function is f(x)=sech-121-xk Since sech-1x=ln1+1-x2x here, 1+1-x2x≥1 ⇒ either x≥0or x≤1

Q: Given the funci f(x + 1) = f(x) + f( – 3) = %3D - ||

A:

Q: What value of b completes the function f(x) = −x2 + bx + 1?

A: We have to find the value of b that completes the function f(x)=-x2+bx+1.

Q: (-2x² – 5x + 14,x 3 x= 3 continuous at x = 3. Justify the conclusion.

A: For given function f(x) ; -2x2 -  5x  + 14  , x < 3   .... (i) 19  , x = 3         ..... (ii)…

Q: Given f (x) = - f'(2) = -- and f(1) = find f(x). 24

A:

Q: f(x) = 4x² + 2, and g(x) = /2x –1, find simplified formulas for ƒ • g and g• f,what is the domain of…

A:

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

A:

Q: Find the domain of the function V5 +4x f(x) = x2 – 36 and write your answer in interval notation.…

A:

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

Q: 6- For the function f(x)=3(2x+1)(1-x²)²,Determine: a- The degree of the function b- The value of the…

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

A:

Q: 14. For the function f(x)=ax³+bx² –5x+9 , determine the values of a and b so that s(-1)=12 and…

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Q: x+6 f(x) = X-2

A:

Q: Show that the function f (x) = x* + 3x + 1 has exactly one solution in the interval [-2, -1].

A:

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) x, g(x) = 4x2 + 3x - 1

A:

Q: Find all x-intercepts of the function. Express your answer as a list of x-values. f(x) 6x3 + x2 42x…

A: To find x-intercepts we take f(x)=0 Then we factories the equation

Q: Find f+g, f-g, fg and f/g and their domains.  f(x)=2/x , g(x)=4/x+4  Answer should be:

A: we have given f and g  We have to find the value of f+g, f-g, fg,f/g and their domain

Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation.…

A: The domain is the set of possible input values of the function.

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

A: