Question 3 > Given that f(x)=x²-4 and g(x)=x+10, find (a) (+9)(1)- (b) (f-g)(4)= (c) (fg)(4)= (d) ( ^) (4)=[

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A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write…

Q: Given that f(x)=2x-3 and g(x)=6-x^(2), calculate (a) f(g(0))= (b) g(f(0))=

A: Given that f(x)=2x−3andg(x)=6−x2Find Value of (a)  f(g(0)) and                 (b)  g(f(0))

Q: Consider the following. f(x) = 8x – 3, g(x) = 1 - x Find (f - g)(x). The difference of two…

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Q: Let f(x) = x + 2. Find equations for the following. For each part, identify what is the input and…

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Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

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Q: S(x)= 2-1 x* +X Simplify

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Q: Given g(x)= 6x^2-x+9 a. g(0) b. g(-1) c g(r) d g(x+h)

A: To find the value of the given function at specified values.

Q: f(x)=(x^2-1)/(x+4) Find the following :  5) f(2x) 6) f(a+k)

A: For 5th put 2x in place of x And for 6th put a+k in place of x in f(x)

Q: if f(x)=x2-4  f(square root of x+4)

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Q: If g(x)=|2-x^2|, find g(5)

A: Given,

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

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Q: Please answer and explain

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Q: Let f(x) = 5x - 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) ff(x))

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Q: f (x) = x2 - x - 2; [-4, 5] [-4, 10]

A: The function is the unique relationship where each x is mapped to a unique y. It can be of any type,…

Q: How to do intermediate value thereom f(x)=2x3+6x2-8x+2 : [-5,-4]

A: Consider the given function

Q: Let f (x) = 2x + 7 and g (x) = 3x^2 + 2 Find f(g(3))

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Q: f(x)=2(x+3)^(2)-6 write in standard form.

A: We know that the standard equation of the polynomial is f(x)=ax^2+bx+c

Q: f(x)=x^5 - 2x^4 + 3x^3 + 9; f(3)

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Q: Let f(x) = x^2 and g(x) = 2x + 1. Simplify the following : i) (f + g)(4) ii) (f ◦ g)(x) iii) (g ◦…

A: We will simplify the following.

Q: If f(x) = (x - 3)/ (x - 2), in what value of x makes f(x) undefined?

A: Given: f(x) = (x-3)(x-2) We know that a rational expression is undefined when the denominator is…

Q: f(x) = 2x + 1 and g(x) = 2x^2 + x - 4. Determine (a) f(g(x)) (b) f(g(1)) (c) f^-1 (f)

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Q: Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

A: The solution is given below:

Q: Find f1(-2) whenever f(x)= x2+2x-1/ex

A: We are given f(x)= x2+2x-1/ex. Here, we need to find f1(-2) that is nothing but finding f(-2).