1 1 Vx-5 Q Find the domain of y = |x-3| |x+5| x2-25

Q: 12 1 35 147 x g(x) g'(x) 0. -3 2g(x) If k(x) find the value of k'(1). X,

A:

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: -12(3x² + 4) (x² – 4)3 -2(12 – 1) f (x) = 12x and f"(x) = 1. Let f (x) = %3D x2 - 4 (x² – 4)² ' (a)…

A:

Q: * 2.4 y+- 2v3 If + = xy then ,y' x+ 2 TO FO * 2.1 x-1 + The f(x) = Undefined at x = -3 3-х TO FO 3.

A:

Q: 3 2 x'+a - 2 b X < 0 2 Find “a & b" if f(x)={x+3b 0 < x <1}is continuous at every x. 3x +5 1<x < 2

A:

Q: x + 2 x² – 2x - f(x) = x2 – 1 2x – 5 3 O Does not exist None of the above

A:

Q: (x – 2)²(x+3) (x - 1) (x +2) 5) Let R(x):

A:

Q: 1.27 Find the coefficients a, b, and c so that the graph of f(x) = ax? + bx +c passes through the…

A:

Q: 1 1 2 30. f(2x+4) = x x-3 ise f(2) = ? %3D -1 2 0

A:

Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

A:

Q: 5x +2 8. Let z(x) = Algebraically determine z-(x). 4.x 3 -

A: Find the inverse of the given expression

Q: 2. -1 2 f(x) -5 1 3 1 -5 A. y = 3x2 -x + 1 B. y = -3x? + x +1 C. y = 3x² + x -1 D. y = -3x + x – 1

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 2.1 Solve for x: 2.1.1 3 - x < 2x? 2.1.2 54x+3.100-2x+1 50 000 %3D -4 2.3 Given: f(x) = x + i and…

A:

Q: 1. A x)-3 x+2 and g x) - 20+5. Find fo g(5) 2. A x) - 2 x-4 and g( x)-2x+ 8. Find go f x). k-32…

A:

Q: (X+1)(X) 3D x2*-X +X-1 x2-1 2メー5 メー! メt1

A: Given:

Q: 2-6x 1.3 A functionf:R → R defined by f(x)%= has no fixed points. 2x-4

A:

Q: 2 x -3 w -4 5 -1 -7 A = y C = -2 1 F = 6. 3] Find P= AC- F, if defined. Give P,2:

A: see 2nd step

Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

Q: I+ 4 for I <-1 f(x)%3D {6 for I = -1 3x + 1 for - 1< a <

A: Topic = Functions

Q: 2) Find (f o g)(x) and (g o f)(x) and give their domains. f(x) = x2 + 1 g(x) = 2x2 + 3 %3D

A: Given fx=x2+1andgx=2x2+3

Q: 1) Ax) = |x| 2) Ax) = |x| g(x) = -|x - 2| %3D g(x) = dul- a

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 1 f(x)=, 2х -3 11. Given and g(x) = Vx+2. Find (fog)(x) and its domain.

A:

Q: 1. Let (x) = x2 + 2. Then (*+h)-f(x) A) 2x + h 2xh+ h2+4 C) B) 1 D) None of the above

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: y+- 2x3 + If- 1 +== xy then , y' Vy x+- 2 то FO * 2.1 x-1 The f(x) = Undefined at x = -3 3-x T O FO

A:

Q: 1 Vx-5 Q Find the domain of y = |x-3| |x+5| x2-25

A: Given y=1x-3-1x+5+x-5x2-25. We know that The domain of a function is the set of input values for…

Q: ((x+2)', x 4 = { 1 + Vx, -2 4 f(4)

A: Given piecewise function is. fx=x+22, x&lt;-21+x,-2≤x≤4x+42,x&gt;4

Q: 2 9 6. f(x) Suppose that f(x) satisfics 3f(x) d.x =1 and f(x) 2. Calculate d.r -4 -4 2

A: Given,∫-423f(x)dx=1∫-42f(x)dx=13⇒f(2)-f(-4)=13                   (1)Given∫-49f(x)dx=2⇒f(9)-f(-4)=2…

Q: 2 <x <0. f(x) = {,* .x+ 2 0 <x < 2.

A: Fourier series

Q: f (x) = 2(x - 5)2+ 3. f (x) is invertible for which values of x?

A: Given that,

Q: * 1.4 • If x xf(y)-1 then, %3D 1-f(y) xf') G)-1 1. у - 2. y 3. у 1-f) 1-/y) 4. у %3D

A: The correct option is, option (1)  The detailed solution is as follows below:

Q: (b) g(x)=√x + 12 1 -1 -21 g(x) = -3 √x + color 3 13 - x 5

A:

Q: 3x and g(x) = x + 1 If f(x) = then x + 3 4x (ƒ o g)(x) is -

A: Here, we have been given that f(x)=3x x+3and g(x)=x+14xOur Aim is to calculate (fog)(x)=?

Q: 4.2.11 Find (fo g)(x) and (g o f)(x). f(x) = 6x – 1, g(x) = 3 – 2x (fo g)(x)=(Simplify your ans %3D

A:

Q: 1-the domain of function y=v(x-5)+v(8-x) a) {X:Xs 8} O b) {X:X 25 Oc) {X:82X2 5}

A:

Q: x +2 if x 20 2x – 1 if x 2], [g < -2], and [g² < 4]. Q. Given g(x)

A:

Q: (Ix +1, xs-3 f(x) = { 4, -3 <x < 0 -x + 1, x 2 0 %3D Find f (-6)

A:

Q: 2 1. Given f(x) == and g(x) find gof and its domain. X-1

A:

Q: 1. Let f(x) = 3x2 and g(x) = x – 2. a) Find (fo g)(x). b) Find (f o g)(1). c) Find (g of)(x). d)…

A:

Q: 3) G = ; [X X1 det (G) = 18 %3D [2 5]

A:

Q: -3 47 Define T: R? - R³ by T(x) = Ax, where A =|-5 3 - . - 28 Find an x whose image under T is -32

A:

Q: (1+x}(1-2x) 1+4x (a (-x)(1-x) (p

A:

Q: i 2 3 Xi 0.5 1 1.5 f(x;) -1 -0.625 1.5 7.625 P(x)= ? P(x) = L, (x)fo +L (x)f¡ + L,(x)f, + L;(x)f;…

A:

Q: 22 + 2x – 8 222-5z- 25 (x + 4)(z – 2) = 3. Let f(z) = 3. %3D (2x + 5)(x – 5) 1) The domain in…

A: (1) Consider the given function fx=3·x+4x-22x+5x-5

Q: 1-the domain of function y=v(x-5)+v(8-x) Da) {X:Xs 8} Ob) {X:X 25 c) {X:82X2 5}

A:

Q: 2*+3 Given: g(x)= 24-x Find: a) g(0) b) g( 1) c) g(-1)

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 1 1 Let f(x) and g(x) -6 - 1 Then the domain of fog is equal to all reals except for two values, a…

A:

Q: 6 and g(x) = x2 - 3x + 5. Let f(x) = 5x Then (fo g)(x) = %3D (go f)(x) =

A: Given : fx = 5x-6gx = x2-3x+5

Q: 8х-1 (x) = then f is one to one. %3D x2+4

A: F is not one one

Q: If f(x, y) I-1 ,x = 1 then fy(1,0) + 3 f (1,0) = O does not exist 9- 6.

A:

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.