Given the functions below, find the domain of (f •g)(x). 1 f(x) = 1 g(x) = 5х + 2 —8х — 10

Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

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Q: 4. The function I results when the function f() = 2x" + 54x" is vertically stretched by a factor of…

A: Given The given function f ( x ) = 2x5 + 54x2

Q: Find the absolute extreme values of the function on the interval. F(x) = Vx, -27sxs8

A: We will first differentiate the function to find the critical points.

Q: 4. (x) = x(x – 1) - 4x* – 3x* + 2x)

A: We have to find the value of degree, leading term, leading coefficient, and constant term of the…

Q: k will the function f(x) = kx²-x²³ have a point of inflection at x=2? For what value of

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Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) = {V1-x2 ,-1<x<1 x21

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

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Q: Q3: Find the extreme values of the function f(x, y) = xy + x2 - y2 – 5x – y + 5.

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Q: 2 For f(x) x 5 and g(x)= 7- x, find b. the domain of f og (fo g)(x); а.

A: Consider the given functions.

Q: =V find f(x). 3/ x7 For the function f (x) = ,find f-1 (x).

A: Given function,f(x)=x753 ,we have to find f-1(x)

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

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Q: 10. Evaluate f"(2) for the function f(x)= 4x – 2x² + 5x +3. Is the function concave up or concave…

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Q: Determine the image of the function 12x + 27 f(x) x² – 4x + 5 for all x E R. Solve the problem…

A: Given fx=x2-12x+27x2-4x+5

Q: Q1: Find the extreme values of the function F(x,y)=x² + n + y² + 7

A: We have to complete the square first.

Q: For what value of x does the function g(x) x³ - 2x? attain the point of inflexion? A. x = -1 B. x =…

A: The given function is                                         g(x)=13x3-2x2 We know that the point…

Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) ={V1-x2 ,-1<x<1 x21

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Q: 1. Given the function f(x) = Vx5 – 3Vx², find the interval(s) of increase.

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Q: Find (f-1)'(a) for f(x) = ーX-3 when a = 3x +2 (Enter an exact answer.) Provide your answer below:…

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Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

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

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: (c) Find the domain and sketch: F(x) = and G(x) = e"-2 + 1 x2

A: Given a function F(x)=3x+|x|x2 To find the domain and sketch the graph of the given function. The…

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.

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Q: For what value of x does the function g(x) = (x² – 4)² attain the absolute maximum?

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Q: Q5. For the given function 6p f(x)=2x² -x+1 f(3+h)- f(3) Find and Simplify h 0

A: see 2nd step.

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

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Q: Q2\ Find the domain, range and symmetry (Odd, Even or Non) of the function y = ? XIN 1,

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Q: Q3) Find the value of the constant c and the distribu function (x) = c/(x² + 1), where -* <x< , %3D

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Q: 2. f(x) = 14x – 10x² + 2x – 5

A: Let's find.

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: 2-2x find (fif) G) to use f Cx) = x

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Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

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: Given the piecewise function defined below, determine the value of 3 f(x)dx in simplest form. -3x² –…

A: Given function is f(x)=-3x2-1  for x≤0-10x       for x&gt;0

Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: 3. For the Functions f (x) – 3x – 4 and g (x) = x+2, find the following and detemine the domain in…

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Q: b) Find the domains of the following functions. 3x + |x| i. G(x)

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Q: Find the zero(s) of the function algebraically. f(x) = 2x + 18

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Q: Next, use the vertex and the other point provided to find the value of the leading coefficient a in…

A: Given that vertex is at -3,5, thus, h,k=-3,5.

Q: Q1: Find the extreme values of the function F(x,y)-x2 + п + у? +7 n=( 2x)

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Q: x2 + x – 2 At which value of x does the function f(x) have a removable discontinuity? g3 – 3x2 + 2x

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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: For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

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Q: Given the functions g(x) = 3x + 1/ 2x - 4 find g-1(x)

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Q: Q. 11 Find the inflection point for the function f (x) == - sx² + 2x

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Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: Consider the function. x2 – 25 f(x) x3 + 2x2 – 25x – 50 For what real values does y = f(x) have a…

A: Here we need to find the vertical asymptote of given function.  The solution is following.

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.