x-8 Let f(x) = 3x +8, g(x) = x²+ 7, h(x)= - 3 Find (g ohof)(8).

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: 4. Find all points of discontinuity. 17/11 a) f(x) = x-23 x²+5x-2 b) f(x) = x-9 x'+6x+9 c) f(x) =…

A: Clearly the given functions are Rational functions since they are of the form p(x) / q(x) and We…

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: f(x)% 3D -x2 f(x) = -x2 0. 0. 土4 土3 ±2 -1 土1 士4

A:

Q: 22 -3x+2 Let h(x) = what is h' (-5)? -x2 -4x+4'

A: Given,          hx=x2-3x+2-x2-4x+4

Q: (-*+3 2. g(x) = {1x – 1|| (3(x – 2)² + 1 - 3 < x < 2 x 2 2 Domain: 21 Range: 1 -6 -5 -4 -3 -2 -1 0 2…

A:

Q: blem #1: Differentiatef (x ) = [(4 x4 -5 )(3 x2-9 x - 5 ) ]3 and solve f (2).

A:

Q: 3. GIVEN: ƒ(x): 2x2 – 3 xs2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2…

A: Given query is to determine whether f(x) is differentiable at x=2 or not.

Q: 4 – x2 - X 3 (2х — k+h

A: For continuity, we must have the left-hand limit equal to the right-hand limit at x=2 and x=3 For…

Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: f(x) =2x²-3x-Sand g(x)%3D3X²-4x+ find: @ (fig)(x) (f-g)(x)

A:

Q: Graph the functions in Exercises 25–28.

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

Q: .2 x -4 x + 2 f(x)={ x-2 at the point x = : 2 5 x = 2 |1-x, x 1

A:

Q: x -> 0

A:

Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

A:

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)…

A:

Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: kx,0 6

A: From the definition if the function is probability density function then, ∫-∞∞f(x)dx=1 Here,…

Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

A:

Q: Need answer for C

A:

Q: f ( x ) = x ^ { 2 } - 4 x - 12

A:

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 0,x1 x+2,x<-1 f (x)= %3D 2,x2-1

A: Interval notation is a way to describe continuous sets of real numbers by the numbers that bound…

Q: 2-K2 a. h(x) = where k is a constant %3D

A: here we the quotient rule to find the derivative ddxuv= vdudx -udvdxv2  According to our guideline…

Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: h(x) = x 2- 2x g(x) = 2x - 5 Find h(-2) - g(-2)

A:

Q: f (x) = - x + 43x - 5 %3D as x → -00 f (x) →-0 as x -∞f(x) -8 | as x +oof(x) → -8∞ as x → +of (x) →…

A:

Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: (i) f(x) = x³ – x² - 8x + 1 on [-2, 2]. (ii) f(x) = x³ + x + 1 (iii) f(x) on [-1, 1]. = 3x* – 8x³ +…

A: Please see the below picture for detailed solution.

Q: 9. GIVEN: f)=-2x2x+3 FIND: a) AXIS OF SYMMETRY: b) MAXIMUM VALUE OF THE FUNCTION:

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: h(x)=-x+3 g(x)=-x 2 +3x Find h(-3) + g(-3)

A:

Q: The function f(x) = -4x + 12x² + 180x – 1 is increasing on the interval ( ). It is decreasing on the…

A: The objective is  to solve the  above questions.

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

A:

Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

Q: Enter the function f(x) = 9x ^ 2 - 54x + 85 the form f(x) = a * (x - h) ^ 2 + k where a, and k are…

A: The quadratic function f(x)=ax2+bx+c represents a parabola. The vertex form of the quadratic…

Q: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

A: To find the correct option

Q: x +x-6 F(x)%3D at x= - x+3

A:

Q: 4. Find all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…

A: Solution

Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: 6. f(x) = x² – 4x, g(x) = 2-3E %3D a) (f - g)(-5)

A: Given: f(x)=x2−4xg(x)=2−3x

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

A:

Q: (x+3)(x-1) x' - 5x² + 4x¯ x(x-4)(x-1) x'+2x-3 Given g(x)= .3 What is the domain of g?

A: (a) Simplify the given function as follows. It is known that the domain of a function is set of all…

Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

A:

Q: The function f(x) = – 2x + 3.33x2 +46.716x + 6.22 is increasing on the open interval ( It is…

A:

Q: 2. -3 3. f(x)= ;x = -1

A: See the details solution in below