Express the function in the form f∘g: H(x)=4+x

Q: -4x By use of the product rule, differentiate the function f (x) = x³e¬4×.

A: Rule:

Q: . Algebraically find the domain of the function in interval notation. f(x) = v3 + 5x

A:

Q: f (x) - 322 + %3D 2/3

A:

Q: f (h+4)-f (4) (***) Use the function f (x)=3x² – 5x to evaluate

A: Given,

Q: Find the function value, II poss UP U) -5x - 5, X<-1 f(x) = |x² + 2x - 1, X 2 -1 (a) f(-3)

A:

Q: Find the domain of the function: f(x) = x2 - 7x

A: Given   The function is f(x) = x2 - 7x

Q: Find the domain of the function f(x) = √(25 − x2).

A: The given function is fx=25-x2

Q: Find the domain of the function f(x)= x/x2-36

A:

Q: Find the domain of the function. f(x) = Vx-8 6. 8. f(x) = x2 + 8

A:

Q: ch that the function X-4 x 5. f (x) =

A:

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

A:

Q: Identify the end behavior of the function f(x)=-x° + 3x² +x² – 3x to the left and to the right…

A: Given, f(x)= -x⁶+3x²+x²-3x

Q: Find the domain of the function. f(x) = x/(x2 - 9)

A:

Q: For the functionfCX)=x=-C6, find F(x)

A: Here given as fx=x5-6

Q: Find the domain of the function (using interval notation). 2x - 5 f(x) : х2 +х — 6

A: The set of the values of x for which the value of y is real is called domain of the function

Q: Determine the domain of the function f(x) = x2-9

A: To determine the domain of the below function

Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

A:

Q: Find the domain of the function: f(x) = x2 + x - 12

A:

Q: Find the domain of the function. f(x) = V6 - 3x What is the domain of f?

A: The domain of the function is the set of values of the function for which the function is defined.…

Q: 2 For the function f(x) = 2x² – 4x, evaluate and simplify. - f(x + h) – f(x) h. II

A:

Q: Find the domain of the function. f(x) = x2 / ( x2 + 1 )

A: f(x) is a rational function with the denominator x2+1.

Q: Let f(x) = 8x3 - x4 + 4. 1. Find the intervals of increase and decrease

A:

Q: Find the domain of the function. f (x) = /-x-7

A: We have to find the domain of the funciton fx=-x-7.

Q: Find the domain of f. f(x) = x2 – 13

A:

Q: What does the 5 represent in the function f(x)=5(2)^x?

A: Explanation of the answer is as follows

Q: Find the domain of the function.

A: Given: fx=13x-6 To Find: Domain of the given function

Q: Evaluate the piecewise function: (-4, xS-2 f(x) = {x- r- 2, -2 <x <2 (-2x +4, x2 2 A. f(-1) 2 B. f…

A: From the given problem: fx=-4,   x≤-2x-2,  -2&lt;x&lt;2-2x+4,  x≥2   A). The point x=-1 is lying in…

Q: Find the domain of the function. 5 f(x) = x² - 19x The domain is

A: We have to find the domain of given function.

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: 3) For the function f(x) = -2x+5, find and simplify the expression for f(3x) – 3f(x).

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Q: Use the functions f(x)=x+5 and g(x)= 3x-7 to find the function (gof-1(x).

A:

Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a

Q: Given the function f(x) = - + v , find f'(4). Express your answer as a 2 single fraction in simplest…

A:

Q: Determine whether the function y = -3x2is increasing or decreasinga. For x &lt; 0. b. For x &gt; 0.

A: Given, y=-3x2Differentiating both sides w.r.t x we get:dydx=ddx(-3x2)⇒dydx=-6x…

Q: Algebraically determine whether the function j (x) = x-3x2-4 is odd, even, or neither

A: Even function f(x) = f(−x) for all x  Odd function  f(x) = -f(−x) for all x  if function not follow…

Q: Using f(x)= 3x-2x+2, find and simplify the difference quotient S(x+h)- f(x) 2)

A: The difference quotient: The differentia quotient of a function fx is: f(x+h)-f(x)h The given…

Q: Find the domain of the function. f(x)= 2+ x2 The domain is

A: to find the undefined points take denominator =0 ..............undefined point

Q: raph the function. 2x +3, if x < 0 14) f(x) = . x2 - 4 ifx2 0

A: The graph is a combination of a straight line in case of 2x+3 and a parabola in case of x2-4:…

Q: Find the domain of the function. F(x) = x-2/ x3 + x

A: To findDomain of functionf(x)=x-2x3+x

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

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Q: Evaluate the difference quotient f(a + h) - f(a) / h for the function f(x) = x ^ 2 + 4x - 5

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Q: Find the domain of the function using interval notation. f (x) =-2a (x - 2) (x – 5)

A: Simplification of the function helps to find the required domain. Definition of the domain of the…

Q: Identify where the function f(x) = x³ – 4x² + 8x + 1 is increasing, decreasing, concave up, and…

A: The given function is fx=x3-4x2+8x+1. Obtain the first derivative of the function as follows:…

Q: (x)=(x²-3)' +x) 2 5

A:

Q: Find the domain of the function f(x) = x2 + x - 12

A: Given function is fx=x2+x-12 The domain of a function is described as the set of input or argument…

Q: Find the domain of the function. g(x) = x/  (x2 - 16)

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.