2x +x-6 -. For the given functions f(x)- and g(x) = - find the 2.x² + x – 6 Vx+2 following information: a) Domain of f(x) c) Domains of (ƒ +8)(x), (f – 8)(x), (f·8)(x) b) Domain of g(x) d) Domain of L(x)

Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

A:

Q: the range of g (x): 1 +4 is: X-9 R- {-4} 0 R- (9} 0 R-(4} 0 R-(-9} 0

A:

Q: 9) Find f(-2). f(x)=3x2 - 8x + 7 My Answer: 10) Given f(x) = x2 - x³, find f(-10). %3D My Answer:…

A:

Q: 2) f(x) = -5x² + 3x -7, find: f(x + h)- f(x)

A: According to the problem, we have

Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

A:

Q: 2. If f(x)=x² -15 and g(x)= 2x+11, a) find (f °g)(2). b) find (gºg)(-6). c) (g•f)(x).

A:

Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

A:

Q: 1 Vx-5 Q Find the domain of y = |x-31 lx+5| x2-25

A: The given function is: y=1x-3-1x+5+x-5x2-25

Q: the absolute or minimum if it exists.

A:

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: b. f(x) = x - 3 x² – 9 2-

A: The given function is,   f(x)=x-3x2-9

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: Q 2/ find the value of (k) to continue the function x3-3x2-4x+12 f(x)= x-3 * * x = 3

A:

Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: 3. If f(x)=2x + k - 4 and f(f(k)) = 2, determine the value of f(-3).

A: Given: f(x)= 2x+k-4 and f(f(k)) = 2, then find f(-3) .

Q: If f(x) = - 2x + ax² +2 and f(2) = 2a, find a. %3D 2.

A: A function is a relation connecting two variables, in such a way that one  variable varies with the…

Q: السؤال الثاني |4-x Vx-1 Find the domain of y = - 2 3+x| x+5

A: We have to find the domain of y=4-x3+x-2-x-1x+5 For domain x≠-3, x≠-5 and  x-1≥0⇒x≥1 And…

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

A:

Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: If f(x)=4x-10 and g(x)=6-2x, fina tne roiiowing f(-2) g(5) g(-2)+ f(3)

A: Given f(x)=4x-10 and g(x)=6-2x. We need to find f(-2) Replace x by (-2) in f(x) f(-2)=4(-2)-10…

Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: 5. Find mZHGI. F G (7x - 1) (4r + 3)"-

A:

Q: Differentiate two ways: first, by using the Quotient Rule; then, by dividing the expressions before…

A: Disclaimer: Since you have posted multiple question, we will answering only 13th. In case you need…

Q: 2x +8 -5<x<-1 5. Find all x-intercepts of the function g(x)={-}x-4 -4x+10 -1<x<1 algebraically.…

A:

Q: 7. Determine whether f(x) = -2r? + 12x + 3 has a maximum or minimum value. Then find the maximum or…

A: Given,         f(x)=-2x2+12x+3

Q: -f(x) = x2 +3x-40

A:

Q: x - 7 If f(x) = Vx – 3 and g(x) find the domain x - 4 of

A: Given: f(x)=x-3 and g(x)=x-7x-4 To find: Domain of fgx.

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

A:

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

A:

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

Q: Q2/ Max and Min F= 2X1+ 5 X2 using graphical method: X1+2X; < 60 Xi+X; 2 30 X1-2X; 20 X1, X; 20

A:

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?Do not include "h′(−3)=" in your answer.…

A: The problem concerns addition law for derivatives of functions:

Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

A:

Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: for what value of x does the function f(x)= 1/3 x3- 4x attain the point of inflection in the…

A: Inflection points are those points at which the function changes its concavity. We can find those…

Q: 13. The domain of f(x)=3x+5+2x' is 14. The range of f(x)=3x+5+2x' is 15. What is the value of the…

A: We have to find domain

Q: 4 f(27)- Vx-3 and g(-w) = 10-4 4 what is the domain of +(x)

A: Given that, fx=x-3gx=4x-4

Q: 2) Find the domain of the function. 7 – 4x f(x) = 3x + 2

A:

Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

A:

Q: 14-x Vx-1 Find the domain of y | 3+x x+5

A: The given function is: y=4-x3+x-2-x-1x+5

Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

A:

Q: G(x)=3/4t+2, find G-1(1)

A:

Q: Given that 6g(x) + xsin(g(x)) = 10x2 - 9x - 9 and g((3)/(2)) - 0, g' ((3)/(2)). g'((3(/(2)) =

A: Given that, 6g(x) + x sin(g(x)) = 10x2 - 9x - 9 Differentiating above with respect to x we get, 6 .…

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: Let h(x) = f(x)g(x). If f(x) = 3x² + 2x 3 and g(æ) = ² + 4x + 2, what is h' (-2)? Do not include "h'…

A: