State if the given functions are inverses. 1) f(x) = 2(x – 1)³ 2 + V4x g(x) = 2 2) g(x) = Vx + 2 (x) = (x – 2)³ 15 + 3x 3) g(x) = 5 4) g(x) = -_3 3 f(x) = -x – 5 x + 2 f(x) =: 1 + 1 -x + 3

Q: ax+b x <1 If the function f(x)={ 2x b- x 1< x < 2 is continuous x2 2

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Q: Graph the following functions.

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Q: f"(x)=6x +1/x^2, f'(1)=4, f(1)=2

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Q: 1. To show that +2-4= 0is an implicit solution to do Lon the 2y interval (-oo, 4), i. First convert…

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Q: 1 (a) f(x) 2x (b) f(x) = x + 3 1 8 (x) g(x) = x + 3 2.. bo

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Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: 1 if x -2 18. f(x) = x + 2 %3D a = -2 1 if x -2 x+3 if x -1 a = -1

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Q: 10 1x +3|, -5 2 y 5- 4+ 3. 4 3 -2 -1 2. 3 4 5 5- 2. 1. 1 1. 2.

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Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: if x 1 F(x) = {x² + x3/2 3. %3D 0.

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Q: Discuss the continuity of the function.

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Q: 1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³…

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Q: 1) If f(x) = - 2x, then f' (8) = A) B) D) 1 E) 3 3x -2 2) If f(x) = , then f'(x) = 2x+1 A) 2 -7 B)…

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Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Suppose z is implicitly defined as a function of x, y, by means of the equation: z4+8zx=3x2+12y2…

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Q: 2 If f(x) = and g(x) then (g of)(x) is equal to x + 3 1 + 3x A x + 3 D 2x x + 3 2х 1 + 3x 2x

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Q: f(x) = (x -5)' =(x-5)(x-5)(x-5) -5 x^2 -5x (x^2-10x+25)(x-5) -5 -5х 25 x^2 -10x 25 -5 3.

A: Factor problem....

Q: 2 + Assume that the function y = f (x) = 7x ,x e (0 , 0 ) has an inverse. A formula for y = f1(x) is…

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Q: If f(x) = 2x² + 4x - 3, then f(x+h)-f(x) h 012x+ +2h)²+(4x+4h)−3−(2x²+4x-3) h 2(x+h)² +4x−3−2x² -…

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Q: Consider x2 2x + 1 if x 1.

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Q: -1, if -n <x<0 1, if 0sxSa h) f(x) = { %, -1<x<0 0<x<1 -x, if %3D if

A: We find Fourier coefficients then find required Fourier series.

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

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Q: Part 1 of 10 (a) As I-- 0 f(x) -3. Part 2 of 10 (b) Asエ→2fは)ー - Part 3 of 10 (C) As I-2f(x)- 00…

A: topic - graph of a function answer is (d) . 3

Q: 27. f(x) = x* + 1, x> 0 ||

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Q: Find f(x) - g(x) when f(x) = 2x^2 - 4x g(x) = x^2 + 6x   x^2 - 10x   3x^2   3x^2 + 2x   x^2 + 2x

A: In a polynomial expression, the like terms are the terms with the same variables and exponents.

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: Discuss the continuity of the function on the closed interval.

A: Given, f(x)=x, x&lt;12,x=12x-1,x&gt;1

Q: 4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6…

A: If the function f is defined by f(x)=5x+3, then 2f(x)+1=

Q: (2x +1 if x<1 F(x)=1-2x +3 if x21 2. f(-2) = f(6) = f(1) =

A: Here we have to find the value of the given function at the required points. Initially we have to…

Q: -8 f(1) – 4 g(4) =[ %3D 8- 6+ y= f(x) 2+ -8 -6-4 6. -4+ y=g(x) -6+ -8- ఈ

A: Given, The graph of the functions  y=fx   and  y=gx We have to find the value of expression…

Q: 1. Which pair of functions is equivalent? a. fx) = - 8x - 5x – 3 g(x) = 8x + 5x + 3 c. Ax) = (-6x +…

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Q: 1. f(x) = x-3 2. f(x) = x-2 3 3x+2 3. f(x) = x+5 4. f(x) = x+8 x-2 x+6x+8 5. f(x) = x-x-6 2 2.

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Q: If f(x) = 3x – 2 and g(x) = x + 1, then (f(g))-'() equals O 1– x O x +1 O x – 1 1 O (3x – 1) 3

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Q: Suppose that y =fx) = x2 – 4x +4. Then on any interval where the inverse function y= f(x) exists,…

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Q: course repeater claims that his brother who did some Calculus at college years ago, but currently on…

A: Given: fx=2x2-1x2+3x2+1 gx=x2+872-3x25 The objective is to check given first order derivative of…

Q: If flx) = x²-4 and g(x) =x +2 then we can %3D x-2 say the functions f and g are equal.

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

Q: 3) If h(x) = 3x –4 f (x ) = 4 x + 6 g (x) = - 2 x- 4 Composition of functions а. h(5) b. g (h ( 5))…

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

Q: If f = {(0, 1),(1, 2)}, (b) find h(x) = f(5 − 3x) − 2.

A: From the given data f(0)=1 and f(1)=2 That is f(x)=x+1

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: 1-4, xs1 7) f(x) = %3D ++2, x> 1 -8 +一七

A: In this question we have to graph the function.

Q: Suppose z is a function of r and y, and x² + y² + z² = xe² + ye² + ze³. Solve əz əz for and əx ду

A: Topic = Derivative

Q: (2, x>-3 2. f(x)=-5, x1 10 8 6 6 8 10 -10 8 6 4 21 2 4 6 8 10

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Q: 口 5. Find the inverse of the given function. y = 3x +2 1 y =V 3 O y = 2x + 3 Oy= O y = -2x - 3 O y =…

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Q: If f(æ) = (x + 1)² – 1 then f(1) – f(0) is equal to:

A: Given f(x)=(x+1)2-1 Now we will find the value of f(1)-f(0) as shown below

Q: Find the inverse of the given linear function f(x) = 4x - 4 O A. hx) =x+5 В. h 2 n-{x) = - **3 Oc. h…

A: Here we have to find the inverse of the given linear function f(x) = 4x - 4

Q: 2. If ƒ(x) = x°e*, find f'(x) and f'(1).

A: We have to find f'(x) and f'(1).

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.