13. Find the inverse of the function f(r) (r+ 2)-3.

Q: 28) Find the equation of the function yielding the following -2 -1 0. 1 7 3 1 %3D

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Q: 2 show that (fof) (x) = x, for all x # 3 (4x + 3) Question 4. If f(x) = (бх — 4)" 3' What is the…

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Q: Let h(x)=f(x)−g(x). If f(x)=9x^2 and g(x)=8x, what is h′(−5)?

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Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: 5. Which is the inverse of f(x) =2? %3D Or (2) = H 241 Of (x) = 1- Of (x) = 1 1-c f(x) = 1+a

A: To find f-1(x) We interchange x and y and solve for y as function of x

Q: Let h(x)=f(x)g(x). If f(x)=x2−3x,g(0)=−1, and g′(0)=−4, what is h′(0)?

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Q: Show that g(x) = x/(x-1) is equal to its inverse on the domain x-1 {x : x # l}.

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Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

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

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Q: Express h(x) as a composition of two functions: h(x) = 3√(x2 + 1)

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Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

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Q: 1. What is true about the behaviour of the function f(x)- from the right as x → 4x + 5 towards the…

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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: 10. Suppose f is the function defined by: f(x) = 5x2 + 2x +1 Re-write f(x) using the complete the…

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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: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

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Q: B. Differentiate the following functions with respect to 'x' i. y (3x² + 2x) (4x² + 4x) 1. y= (3x² -…

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

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Q: Express the given function h(x) =1/(2x - 3) as a composition of two functions f and g so that h(x) =…

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Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x>-1

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

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

A:

Q: Q3) Detemmine the points of discontinuty, if any, of the following functions : x² +3 (a) x +x+1 4x…

A: See the attachment

Q: 8. Analyze the differentiability of the following function: f(t) = Vx² – 2 State the restrictions in…

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Q: Show that the function f(x)=x3−3x2+6x−1 is strictly increasing on R.

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

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

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Q: 4. Prove that the following functions f (x) = Vx – 2 and g(x) = x² + 2 are inverses of each other…

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Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

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Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

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Q: What is the value for k if f(x) =x² + kr + 13 is an even function?

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Q: Express the given function h(x) = (3x - 1)4 as a composition of two functions f and g so that h(x) =…

A: Given function,  h(x) = (3x - 1)4 To express the function h(x) as a composition of two functions f…

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: f(c) {}} [=+3 = < (3x + 1

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Q: 1/ Find the domain of the following functions : 1 1) f(x, y) = x²+y²+z²+16 2) f(x,y) = In(9 - x² –…

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Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

Q: 5. Let f(x) = x* + 3x – 2, and let g(x) denote the inverse of f. Then g'(2) is equal to:

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Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: Let h(x)=f(x)/g(x) where f(x)=x^2+5x−1, g(2)=−4, and g′(2)=−2 what is h′(2)?

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Q: 10 Q4 For the functions f(x) = 7x +4, h(x) =-3 and g(x) = 3x - 2 (a) Evaluate Og(4) (i) h{g(4)} (ii)…

A: Given: The functions are : f(x)=7x+4h(x)=10x-3g(x)=3x-2 We have to evaluate : (i) g(4)(ii)…

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

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Q: find the derivtive of f(x) = x 2

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Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

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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.