(a) Which of the following functions have 9 in their domain? (Select all that apply.) U g(x) = 9 h(x)- 18 f(x) = x2 – 3x (b) For the functions from part (a) that do have 9 in their domain, find the value of the function at 9. (If 9 is not in the domain, e UNDEFINED.) f(x) = x2 – 3x X - 9 g(x) = h(x) = Vx - 18

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: x2 - 8 If f(x) = X-4 where is f not differentiable?

A: Find where is f not differentiable

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: 2 > x>1 4 2x > 2 52x>4 62x>5 (4 x + 2 b) f(x) = 16 x² + b 1)is the above function continues at x=2.…

A: We use the definition of continuity at a point to solve the given question, i.e., A function f(x) is…

Q: 1-6 for part A F(x)= 4•2^-x +1

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

Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

A:

Q: За + 4 f(x) g(x) = – 2x – 3 Find the following - - f(1) = g(1) = (f + g)(1) =

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: snip

A: Given: fx=1x and fgx=x+1x2-x

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: 2. Consider the functions f(x) = 2x² – 7x + 4 and g(x) = -7x +5. %3D a) Find f(-1). b) Find g(r -…

A: Given f(x)=2x2-7x+4f(-1)=2(-1)2-7(-1)+4         =2+7+4         =13Therefore f(-1)=13

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: 1. For the function f(x) = 3x² - 5x +7 find: a. f(-2) %3D b. f(-a)

A: Please see the below picture for detailed solution.

Q: 1. Solve the following problem. What value of k makes the function continuous at x = 3? x2 + 2x - 3…

A:

Q: given the function f(x)=4x^3 -5, we calculate f^-1 (x) to be

A: To find the inverse of

Q: 1. Given f(x) =x- 3x- 4: Find f(-4). b) Find x so that f(x) = -4.

A: Topic - functions Note :As per bartleby guidelines ,we are supposed to solve first question As…

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: Graph the function

A:

Q: As x approaches infinity, which functions f(x) also approach infinity? How can :…

A: It's easy to see that the function that you have quoted is…

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

A: Find the value of A

Q: = x3 – 1 if x= 0 = 2x if x>0 4. Find f (x+ h) if f(x) = x2 + 2x – 1 5. If f (x) = 3x2 and g(x) = x -…

A: Question 4.  Given - f(x) = x2 + 2x - 1

Q: -3x² + 5x – 12, x 2

A:

Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: 2x + 5; if x 3 Find the value of functionf at x = 3.

A: Topic = Function

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

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

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: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: The equation for a family of functions with zeros at +3, and -1, with end behaviors from Q2→Q4 is:…

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

Q: Consider the compound function:             (x - 2)3 for x less than or equal to 2 h(x) =  |x| for…

A:

Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

A:

Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: 7. Find the domain of the functions. a. g(x) = 4 +x – V3 – 5x. 7x3-x²+16 b. f(x) х2-21х-100 In(7-3x)…

A: 7 a Given function is : gx=4+x-3-5x For function gx to be defined if , 3-5x≥0-5x≥-3x≤35   Thus , the…

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: Please answer a,b,c

A:

Q: For the function f(x)=3e^x^3 F’’(x)= 27x^4e^x^3-18xe^-x^3 Find f’’(1)=

A: We have to find derivative

Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

Q: The critical points of the function f(x) = 2x – 4x +7 is a) 1 b) 0 c) - 1 d) None of these

A:

Q: 3) Find domain of the following functions X-2 a) f (x) = : x2-4x-12 Solution: b) f (x) = x² – 7x + 3…

A: Solution of question as follow

Q: A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x).

A:

Q: It is known that f'(2) = 0 and that f"(2) > 0. Which of the following statements is true? O The…

A: Given That:  It is known that f'2=0 and that f''2&gt;0. To Find: To find the correct statement about…

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: Q 2/ find the value of (k) to continue the function Vx+1-/2x x + 1 f(x)= (k x2-x X = 1.

A: The detailed solution is as follows below:

Q: 1. g(x) = 2 + x – x² , find f'(-3) H 2. f(x) = 4x, find g(2x) 3. g(x) = x° – 14, find g(3) 4. g(x) =…

A:

Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

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

A:

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

A: Consider the function

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.