The function h is defined by h (x) = 2x+4. Find h (x-3). h (x - 3) = [|

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

Q: The maximum value of f(x) is 1+4x+x2

A:

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: Let h(x) = x³ - 2x + 3 and find the value. h(-1)

A:

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

A:

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

A:

Q: If f(x)= 2x-and g(x)=3x+1, what is f(x)-g(x)+g(x)²? O8x6+9x2+3x O8x+9x-x O8x+9x2-3x O8x+9x+x

A:

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f -1(1) without finding…

A:

Q: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: Find ao of the function f(x) =÷(n - x)² 4

A:

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x² + 3x – 3x x? - 2x + 6 -x? + 2x + 4 x² - 2x –…

A:

Q: The fixed-points of f(x) = (x² + 2) are_ and

A:

Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

A:

Q: 2) Find the domain of the function. 7- 4x f (x) = 3x + 2

A:

Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

A:

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

A: Topic:- function

Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

A:

Q: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

Q: Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

A:

Q: Find the intervals on which the function f(x)=x3+1x3 is strictly decreasing.

A:

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Find the interval on which f(x)=x2-4x+3 is increasing and the interval on which it is decreasing

A: Answer

Q: The fixed-points of f(x) = (x² + 2); are and

A:

Q: Find the intervals in which the function f(x) = 4x -6x² +3 is increasing /decreasing.

A:

Q: Find the domain of the function  f(x)= In(x^2+5x+6)

A:

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: The fixed-points of f(x) = (x² + 2) are and

A: Solution :  The fixed point of the function f(x) is  f(x) = x  Since, given function is  f(x) = 1/3…

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

A:

Q: Find the intervals in which the function f(x) =x3+5x2-8x+1 is a strictly increasing function

A:

Q: The domain of f(x) = v2x + 1 is

A: According to the question, we have to find the domain of the above algebraic function fx=2x+1. The…

Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

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Q: Let h(x)=f(x)g(x). If f(x)=−3x2+2x−3 and g(x)=−3x2+4x+3, what is h′(1)?

A: Given:h(x)-f(x)g(x)f(x)=-3x2+2x-3g(x)=-3x2+4x+3

Q: Find the intervals of increase and decrease for the given function. f (x) = x2 + 4x + 3

A: A function is  increasing on an interval, where the value of the first derivative of the function…

Q: Find all the possible x-values of f(x)=√x - 2

A:

Q: Find the domain of the function f(x) : V4 - 2x - x

A: Given function is, f(x)=14-2x-x2

Q: (1) Find the domain of the function H(x) = x² – 4x

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

Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

A:

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: Find the intervals of monotonicity of the function f(x)=x3−12x+5.

A:

Q: Find the range of f{x}=x² +5x+6. O (00, 0) O (o, -1/4] O -1/4, )

A: Topic = Functions

Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: What is the linear function of f(x)= -1/2x

A: Linear function

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.