8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

Q: Calculate M6 for f(x) = v2x over [2, 5].

A:

Q: Find the local and absolute extremum for the functions over their domain: x²+2x-3 4. f(x) : x-2 ||

A:

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: Determine all the critical points for the function. f(x)=6x^5+33x^4−30x^3+100

A: We have to determine all the critical points for the function  f(x) = 6x5 + 33x4 - 30x3 + 100 We…

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: 1. Given f(x) = 2- V3x - 5, find f(x).

A: Given query is to find the invi function of x.

Q: 13 Given that f(x)= 2x+1 and h(x)=x, find (h o f)(3).

A:

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: Find the absolute maximum and absolute minimum values of the function: f(x)=5x^7−7x^5−7 on the…

A: We find the critical points by solving f'(x)=0 Use power rule to find f'(x)

Q: Зах + 3 for x -2

A:

Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

A:

Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: 2. If f(x) = 1 + x², find fof 3.lf f(x) = -x, g(x) = 2x + 1 and h(x) = x², find fogoh,

A:

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: For the function f(x) = x³ – 27x, its local maximum is which occurs at ( its local minimum is which…

A:

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

A:

Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

A:

Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h+0.

A:

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

A: Please refer the attached image for complete solution.

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

A:

Q: Find f'(a) for x2 f(x) = x + 6 at a = 3.

A: Given function :

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

A:

Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

A:

Q: The function f(x) 223 42x? + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Let's find.

Q: For the function f (x) =x³ – 3 -x² + 8 , find the coordinates of all Critical Points.

A: Given, fx=x3-3x2+8

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: 2. Given the function y = x²[2f (x) + 3x]*. If f (1) = -1 and 54 for x = 1, %3D determine f'(1).

A:

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

A:

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

A:

Q: 2. If h(x) = 4 +3f(x), where f(1) = 7 and f'(1) = 4, find h'(1). %3D

A:

Q: What is f'(x) of the function f(x) = 4xy^3 if you consider y as a constant?

A:

Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: What is the domain of the function f(x) = %3D 5" Vn n-1

A:

Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

A:

Q: For the following function, find appropriate function g(x) of fixed point method: f (x) = xe* – 1 -

A: g(x)=

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.