2. The functionsf and g are defined on R by f:x + 2x-1 X-2 A B g:x 2 C g:xH x+1 D g:x+

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: Consider the following. 3x2 - 11x - 4 x - 5x2 - 9x + 45 f(x) = (a) State the domain of the function.…

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Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: 2. 2. If f(x) 2x + 3 and g (x) = x-1, then f g(-1) = %3D A. 3 B. -1 C. 2 D. 0

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Q: Let f(x) = x³ – 6x ln x + 6x + 1000. Find all x-coordinates of the inflection points. O x = -1 and x…

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Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

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Q: Forp(x)=a0+a1x+a2x2 andq(x)=b0+b1x+b2x2 fromP2,define ⟨p,q⟩=a0b0 +a1b1 +a2b2. Find the distance and…

A: Given for px=a0+a1x+a2x2 and qx=b0+b1x+b2x2 in ℙ2, define  p,q=a0b0+a1b1+a2b2

Q: x²-4 Find domain of and Vx2 – 3

A: Here, the given functions are  x2-4x and x2-3 We need find the domain of the given functions.

Q: Write the function ziv2 as a + ib (for a and b real-valued functions) and evaluate at z = (1 +…

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Q: The table below represents the inputs (x) and outputs [f(x), g(x), and h(x)] for three functions.…

A: Answer(a): Given that,  For function f(x), x-values and corresponding f(x) values. Write, these…

Q: 9

A: We will find the difference coefficient.

Q: The function f(x) multiplies its input by 6 and then adds 5. Construct a function g(x) that 'undoes'…

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Q: The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4,…

A: We have to find correct option using given data. Concept required:

Q: Suppose f(x) = - 2x2 – 3x – 1. Compute the following: %3D A.) f( – 3) + f(2) = B.) f( – 3) – f(2) =

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Q: The domain of the function 5t + 3 -is_ t2 + 49 g(t) O None of these O R O R- {49} O R-{-49}

A: We will find the domain as following.

Q: 15. Subtract the functions: f(x)- g(x) where f(x) = -3x + 6 and g(x) = 4x- 2 h(x) = f(x) - g(x) =…

A: Answer and explanation is given below...

Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: | Let f(x) = 2x³+3x²-x-5. Determine f[x0, x₁, x2, x3] and ƒ [x0, X₁, X2, X3, X4].

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Q: Find the domain of the function: f(x) = O All Real Numbers O {X1X*4) O {XIX*4, X*3) O {x|x=3} xz -…

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Q: ed gof)

A: Given:  f(x) = 1/ (x+7)  And g(x) = 2/ (x+1)

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.