If ƒ (x) = x − 7 and g(x) = O(-∞, 4) 0 (-∞, 4] O (4,0) O [4,00) O (4,7) U (7, ∞0) what is the domain of the function f/g?

Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)…

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the…

Q: 2. If f(x) = xe, determine f(2018) (r). (A) (x - 2017) e (D) (x+2018)e* OA OBO OD OE (B) (x+2017) e…

A:

Q: Let f(z) = 4r- 12x +7 then f(r) is decreasing on Select one: O a (-00, -1), [12, o0) Ob [1,0) O…

A:

Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

A:

Q: Let f = (x²-3)(u(x-7) - u(x-10)), where u is the Heaviside function. Compute f(-8)= f(7) = f(9) =…

A: Given: f(x)=(x2-3)u(x-7)-u(x-10)whereu is the Heaviside function. We are required to find:…

Q: Consider these functions. 1) Evaluate (f + g)(2). f(x) = 3x² – 5 g(x) = Vx - 2 A) -1 B) 0 C) 3 D) 7…

A: we have the given functions  f(x)=3x2-5 g(x)=x-2 1) (f+g)(2)=f(2)+g(2)…

Q: 5. If f(2) = 5 and f (-1) = -4, find a and b in the function f(x) = ax + b

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Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

A:

Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

A:

Q: Suppose f(x) is a function with the following properties: • ƒ"(1) = ƒ"(2) = ƒ”(4) = 0, f"(x) > 0 for…

A: Let's solve for inflection points at which points.

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

A:

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: 19. Let ƒ(x) = x/(x-2). Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

A: Given,

Q: Suppose f and g are two functions with nonnegative values. If f(n) is (n) and g(n) is (n³/2), then…

A: We have given that , f and g are two functions with non - negative values. If fn is θn. Also , gn is…

Q: ain of f+g, f-g, fg and

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: 8. Suppose that the function f(x) is defined for all If f(x) f(x) = f(x + 25) for x E R, what is the…

A: The function fx is defined for all real numbers.  If f(x) = x for x∈-7,7 and fx = fx+25. Then, we…

Q: 3. State the domain and range of f(x) = –- 2 D:(-x,0] А. D: В. D:[-2,0) C. D:[1,0) D. R:(-0,-1]…

A: To state the domain and range of,fx=-12-x-1

Q: Suppose that F(x) is a function such that F"(x) = f(x). Which of the following statements is true? […

A:

Q: 4. Let f(x) = (6x – 1 if x 0* Find the indicated function values. (a) f(-3) (b) f (0) (c) f(4)

A: The given function is fx=6x-1  if  x<07x+3  if x≥0

Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: 2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the…

A: Here are the solutions:  Note:We have provided the best possible solution for you. Kindly, verify…

Q: 15. If f(x)=x-1 and g(x)=1/ (x+1) , g(f(1/2)),g(g(2)) and f(f(x)) 02, 3/4, x+2 02, 4/3, x-2 02, 4/3,…

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Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: If f(x) is an even function, which function must also be even? (1) f(x – 2) (2) f(x) + 3 (3) fl(x +…

A: For function to be even it must be symmetrical about y axis  and also

Q: At x = 3, the function given by f(x) = (x² (6х — 9 x < 3 x 2 3

A: Given: fx=x2          x&lt;36x-9    x≥3

Q: Consider the function defined by f(x) = −x³ + 6x² - 10. (a) Determine the values of x for which f(x)…

A: