Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO O Domain. x is all real numbers

Q: Sx² – 4 if x # -3 -2 if x = -3' f(x) = Evaluate f(4), f(0), f(-3) and f(-2/3) %3D

A: The given function is f(x)=x2-4if x≠-3-2if x=-3

Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: 04) Find: V2 +7 - 4x a) Horizontal asymbtote for f(x)D x+3 x² - 4 f(x) a to for

A: Given: a) Horizontal asymptote for f(x)=x2+7 -4xx+3 b)Oblique asymtote for f(x)=x2-4x-1

Q: Let f(x) = V 3x² – 26x. For what value(s) of x is f(x) = 3? See Example 6. %3D X = |(smaller value)…

A: use quadratic equation to find the value of x.

Q: Suppose f(x) has the following properties: f(6) 7 = f(9) 8 9. - 6x f(x) dx 15 е 6 Evaluate: (e-6a…

A: Don't confuse if your answer may be in another format...I have done solution step by step...use…

Q: Sx² - 8x + 6 (4x +9 fr xS 6 for x> 6 Let f(x) = Find the value of f(7).

A: To find The value of f(7)

Q: Find g'(4) given that f(4) = 6, f'(4) = 3, and g(x) = Vaf(x). Answer:

A:

Q: r+6 = (2)6 Determine for each x-value whether it is in the domain of g or not. In domain Not in…

A: Given: The function g(x)=x+62g(x)=x2+3 Therefore,g(x) is a linear polynomial.

Q: 5x2 If f(x) = 3 then f'(0) is 4x + 2 O 1/3 3 O - 3 O - 1/3

A:

Q: The function f(n) = 1.5n+√√n is (n). O True O False

A:

Q: 1. Given f(x) 3x-7 and g(x) = 4x + 10, evaluate the following: a. f(3) b. g(-2) f(x*) d. g(2x) C.

A:

Q: x+8 If f(x) = 3x -8 & g(x) = then find (fog)x) (gof)(x) 3 %3D and is (fog)6), (gof)) are equal ??

A: Given  f(x)=3x-8g(x)=x+83

Q: 2x+10 - Let g(x) = 36 ()= 5x +4, and r(x)=V6r+ 13. (a) Find g(-4). (b) Find (f-r)(6).

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

Q: 17. Given f (x) = -4, find f-(x). b. d. C. a. d.

A: The given function is

Q: Detemine where the value of f (x) = x-x2 1+8x2 is increasing and decreasing. ED AN AND

A: fx=x-x21+8x2 Differentiating with respect to x, we get f'x=dx-x2dx·1+8x2-d1+8x2dx·x-x21+8x22…

Q: 4. If f(x) ≥ 0 for all x € [a, b] and a. 0 b. A b [²² f = A, which of the following is the value of…

A: We can solve the given integral.

Q: If f(x) = x2 - 3 and g(x) = 2x + 1, then what is f o g(-13)? %3D

A: We first plug x=-13 in g(x) Then plug x=-25 in f(x)

Q: If p(x) is the total value of production when there are x workers in a plant, then the average…

A: Given- If px is the total value of production when there are x workers in a plant, then the average…

Q: 10x + 8 The domain of the function f(x) x – 1 - is O R-{8} O R-{0} O R-{10 } O R-{1} O R

A: Domain of the function is the values of x for which the function is defined. The given function is…

Q: 3x + 8 If f (x) = 2r and f(0) = -8, what is the value of A? A %3D A =

A: Find the value of A

Q: 6. Given f(x) = x² - 4 and g(x) = 2x – 1, find [ g•f](-2). %D O A. -5 В. -1 Ос. 21

A: Since, we have been given that f(x)=x2-4 and g(x)=2x-1.Our Aim is to calculate g.f(-2)=?

Q: A) is f(4) positive? b) for which values of x is f(x) = 0 c)for which values of x is  f(x)<0?

A:

Q: 12. For f(x) = -3x – 4 evaluate f(n – 6). а.) -Зп - 10 b.) - Зп + 14 с.) -Зп - 22 d.) 18n

A: We can solve this problem using function mapping.

Q: efined on the interval -5, 4. .) f(x) is concave down on the open interval .) f(x) is concave up on…

A: for a function to be concave down we have to see if the double derivative should be less than 0 and…

Q: a. Determine the values of a and b for flz) = -2x + ax? + bx + 6 so that f (-2) = 0 and f (7) = 0.…

A:

Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: 57x-10 for x 31 Let f (x) = %3D Find f(10)= a. b. Find f(35)=_

A: *to find:- a. f(10). b. f(35).

Q: Given f()= 2x +1 nd g() = x'+ 2x-1, ind (-9() Then evaluae he difene when x=2,

A:

Q: 0-64 N

A:

Q: Find (f-1)'(a) for f(x) = 4 – 4x when a = 12. %3D Enter an exact answer. Provide your answer below:…

A:

Q: 2. Find the measure of <F. E m/F = (8x- 18)° (6x-4)° (5x-7)

A: Sum of all the angles of the triangle is 180 degrees.…

Q: What is the domain of f(x)=Dsin1(IIn(x)l)? %3D Select one: O (0,e] O (0,00)

A: Given, fx =sin-1lnx  We have to find the domain of  fx =sin-1lnx

Q: F(x) = 2ln(x). What is F′(2)?

A: we have to find derivative of f(x) at x=2where f(x) is given by

Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: nAבencח x2 f(x) Let k(x) = %3D 2x- 3 Find k'(-1), given that f(-1) = -2, f'(-1) = –3. Sorry, that's…

A:

Q: If f(x)=8x³ (power value: 3) , g(x)=x/3, (power value: 1/3), then what is fog (x) =?

A:

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: 6. For g(x) (x+ 7) + óx determine the input for x when the output of g(x) = 13. [ 5A]

A: Given: g(x) = (x+7)2 + 6x   To find : Value of x , when g(x) = 13 That is (x+7)2 + 6x = 13 ⇒x2 + 14x…

Q: dr For Tatx')(xtan-"(x) + 1) -=In(F(x)) +C. What is F(/3) if C=0? A B -15 -15

A:

Q: Suppose that the cost for manufacturing n desks is C dollars, so we have C=f(n). Which of the…

A:

Q: Find the value of k. f(x) x 21 4 g(x) - x + k k = %3D

A:

Q: Suppose f(x) has the following properties: f(1) f(6) 9. - 7x f(x) dx 16 Evaluate: | (e-7ef'(x)) dæ =

A: Since you are asking multiple questions. We are answering only the first question. Given,…

Q: For the the domain D of the function below, find a possible value for the constant a. f(x)=6x-a , D:…

A: The given function is linear polynomial function and so it is defined for all values of the real…

Q: The domain of y = 5f(2x +4)+3, where f(x)= - is Select one: O a. x*0 O b. x* - 4 O c. X# - 2 O d. x*…

A: We need to find the domain of y=5 f(2 x+4)+3 where f(x)=1/ x

Q: Given n(x) = 7|x| + 3x - 1 (a) find n(-x). (b) find -n(x). (C) Is n(-x) = -n(x)? (d) is n(-x) =…

A: Given: n(x) = 7 |x| + 3x - 1

Q: given f (æ) %3D -은 find the value for x such that 6 7 f (x) 16

A:

Q: Find g'(4) given that f(4) = -10, f'(4) = 2 , and g(x) = Vaf(x). %3D Answer:

A: topic - functions and derivative of a function

Q: 17. Given f(x) = k(2 + x), find the value of k if f(-2) = -3. %3D

A:

Q: Let f(x) = x2 + 3 and g(x) =  x x2 − 9 . (a) Is 3 in the domain of f ∘ g? YesNo     (b) Is…

A: Given: