In Exercises 1–12, determine the domain of the function. 1. f(x)= x/4 2. 8(t) = 12/3 3. f(x) — х3 +Зх — 4 4. h(2) = 23 + z-3 5. g(t) 6. f(x)= t +2 x2 + 4 7. G(u) = 8. f(x) = и2 — 4 x2 – 9 9. f(x)= x-4 + (x – 1)-3 10. F(s) = sin) s +1 x +x-1 11. g(y) = 10/J+y¬1 12. f(x) = (x – 3)(x +4)

Q: In Exercises 33–38, express the function, f, in simplified form. Assume that x can be any real…

A: Given: fx=36x+22

Q: 2 -2. f(x) = x³ (a) f(3) 3. g(t) = 21²-3t+1 (a) g(2)) 4. h(t) = √t+6-2 (a) h(-6)) (b) f(-2) (b) g(v)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: y3 f(x) 4. 4. y g(x) 3. 3. 2. 2. 3. 67. (a) (f + g)(3) (b) (f/g)(2)

A: The graph of the functions f and g are

Q: Find the values and expressions in parts a through h for the function f(x) = /x< +5x. (a) f(0) (b)…

A: Since you have asked multiple subpart,as per our guidelines we are supposed to answer only first 3…

Q: 4. If f (x) = -3x2 + 1, g(x) = v=x+ 4, h(x)= 3log2(x + 16) and m(x) = {(-10,2), (2, –3), (1,– 1)},…

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Q: 10) Calculate; Let f(x) = 3x + 1, g(x) = 4x-7 a) f(3) + g(4) b) f(x)-g(x) c) f(2)* g(-3)

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Q: f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

A: We will find all the values as following.

Q: C Chain Rule 7) f (x )> (2x +5)

A: To determine the derivative using chain rule.

Q: Given that f(x) = x² + 1, g(x) = the domain of each function in Exercises 21-29. Then find an…

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

Q: In exercises 17-19, find the rules of the functions fogand go f. 17. f(x) - 2x? —х- 2, g(x) = x+2…

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Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: X x-6 (a) f(x + 1)) 7. f(x) = 8. [x²-3, x≤-1 x + 4, x>-1 g(x) = (a) g(-2)) (b) f(0) (b) g(3) (c)…

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Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: M0 Sketching Graphs Functions In Exercises 9-12, sketch the of Quadratic M graph of each quadratic…

A: 12. (a) The graph for the function y=x2 is the parent curve for the given quadratic function. Plot…

Q: Pls help ASAP

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: In Exercises 1–6, find the domain and range of each function

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

Q: Exercises 65–70: Find the maximum y-value on the graph of y = f(x). 65. flx) = -x² + 3x – 2 66. f(x)…

A: 65). Given function is fx=-x2+3x-2. To find the maximum y-value on the graph of y=fx. Solution: We…

Q: x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

A: See the attachment

Q: Exercises 135 and 136: Find f(x) = a(x – h) + k so that f models the data exactly. 135. 2 3 5-1-3-1…

A: Question 135 - Given function f(x) - f(x) = ax-h2+k         .............(1)From tables we have got…

Q: In Exercises 102–103, find a. (fog)(x); b. the domain of (fo g). x + 1 * - 2" 103. f(x) = Vx – 1,…

A: Since the exact one wasn't specified we'll submit the first question only. Please resubmit a new…

Q: 7. Consider the functions f(x) = 2x² - 7x + 4 and g(x) = -7x + 5. a) Find f(-1). b) When does g(x) =…

A: Function is f(x)= 2x2-7x + 4 .............(i) We've to find the Value of f(-1) Put the Value of x=…

Q: Each of Exercises 25–36 gives a formula for a function y = f(x). In each case, find f-x) and…

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

Q: 15) In Exercises 91–94, use the graphs of f and g to evaluate each composite function. 4 3+ 2 y =…

A: (fog)(x) = f[g(x)]

Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

A:

Q: Identify f(x) and u = g(x) such that F(x) = f(u) = f(g(x)) for the function F(x) = (5x - 3.4)⁹.…

A:

Q: Exercises 3 and 4: Write f(x) in the general form f(x) = ax? + bx + c, and identify the leading…

A: We know that, The highest power of the variable that occurs in the polynomial is called the degree…

Q: y = f(x) 2+ -1 Part: 0/ 10 Part 1 of 10 (a) As x -00, f(x) → 00 -00 8.

A: The graph of the function is given by To evaluate : The behavior of the graph of the function as x…

Q: Find the f(x) =3-2x2+x by finding F(b)- fCa) averoge rote st change of the function b-a where a=l…

A: a) The given function f(x) is, f(x)=3-2x2+x The average rate of change of a function in the interval…

Q: In Exercises 13-14, find the domain of each function. 13. f(x) 3 (х +2)(х — 2) 14. g(x) (х + 2)(х —…

A: 13. f(x)=(x+2)(x-2) 14. g(x)=1(x+2)(x-2)

Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…