10 6) Let g(x) =+ 3 %3D x2 Is g(x) E [3,4], Vx E [3,4]?, using fixed point theorems what can you conclude?

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: The equation of a quartic function with x-intercepts at 1 (order 2), -3 (order 1), 2 (order 1) and…

A: Let's find.

Q: er + e-x3 d) k(x)= 3e* + 4x

A: Given function, k(x)=ex+e-x33ex+4x

Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x + 1) + 1

A:

Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

A:

Q: Given: f(x) = x2 + 1 1) Find... f(2) f(0) = %3D f(-3) 2) Find... fly) = f(x2) = f(x + 1) = %3D 3)…

A: Answer and explanation is given below..

Q: The one-to-one functions g and h are defined as follows. g = {(-8, 3), (-2, 7), (2, 9), (7, 4)} h…

A: given that                                               g=(-8, 3), (-2, 7), (2, 9), (7, 4)h(x)=3x-2…

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

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Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: Use the table to determine Df(g(x))) at x = 3. |1 2 3 4 f(x) 1 f(x) |3 -5 1 4 4 1 3 4 3 2 g(x) 2…

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Q: 6. (x – 1

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Q: 29 x) = [42] (4), x(t) x(o)= [?]

A:

Q: Q: Let f: R→R be given by f(x)= x +3 Find (a){x: f(x)= 28} (b) The pre-image of 39 and 2 under f.

A:

Q: 17) Let f(x) : Find a %3D X - 9 function y = g(x) so that (f •g)(x) = x. %3D

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Q: Given that f(x) = 7x + 5 and g(x) = 8 – x², calculate (a) (f o g)(0) = f(g(0))= (b) (g o f)(0) =…

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Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: 1. Let f(x) = 3x2 and g(x) = x – 2. a) Find (fo g)(x). b) Find (f o g)(1). c) Find (g of)(x). d)…

A:

Q: Determine the G(s)   g(x)=x3e1/3xsin(5x-j)

A:

Q: Vipul

A: The objective of the question is to find the probability density function of the random variable Z,…

Q: 5) Find functions f and g so that f • g = H -3 H(x) = Vх — 2

A:

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: If f(x) = 12sin(green wave), then the red wave isni %3D 20 |-31/2 |-T1/2 T/2 3h/2 2n 5T -10

A: Solution A sinusoidal wave can be represented as f(x)=Asin(2πfx+P)..........(1) Where A is amplitude…

Q: 85 2 1 r³)(1 x2 O A. (3x? – 2+ 3 - O B. 85 2 1 (3x2 – 2+ -x3)(x+ 3 · (1 – →)(x³ – 2æ + 17x3) 85 2 1…

A: Given query is to find the derivative using product rule.

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.