A function f : Z → Z is defined by f(n) = 2n + 2. Determine f(E), where E is the set of even integers. Determine f-1(D), where D = {6k : k E Z}. (a) (b),

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: (8) 3a. Given the functions f(x) and g(x), find: a) domain b) range c) inverse of the function d)…

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Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: If g(a)= b and f(b) = c, then explain how to find (f og) (a)

A: Given g(a)= b ......(1) f(b) = c .....(2)

Q: B Evaluate the piecewise function f at the given x-values. Write the answer using function notation…

A: In the given graph, the bold line indicates the function. The open circle is not included in the…

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: 21. Given the functions f(x) each: a.) (fog)(x), = 1 x + 5 and g(x) √2-x, find the following b.)…

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Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

A:

Q: The domain of the function f(x)=√1 is Select one: O a. (1,00) O b. (-∞0,0) O c. (-∞, 1) O d. 0,1 O…

A:

Q: 1) write the linear function f for which f(1)=3 and f(4)=0

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

Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

Q: Consider f(x) = 9x – 8. a. Compute: f(a) = b. Compute and simplify: f(a + h) c. Compute and…

A:

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: Consider the function f(x)=√x+5-9 for the domain [-5, ∞0). Find f¹(x), where f -1 is the inverse of…

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Q: Find f+g and fg for the functions f and g given as; f (x) =x² + 1 and g(x) =x + 2, are functions…

A: From the given problem:   fx=x2+1 ; gx=x+2   So,   f+gx=fx+gx=x2+1+x+2=x2+x+3 Hence, f+g=x2+x+3.

Q: Use the function f(r) given below to answer the questions that follow. f(r) = – 2(r+1)(r – 3) (r –…

A: The given function f(r)=-2r+1r-33(r-1)

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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