if g(x) = 2x 10                            and h(x) = 3x-2                 3   Find g[h(x)]         and express in its simplest form   b. if      f(x) = 2x - 1                      3x + 4   find f-1 (x)

Q: If f(x)=ln(3x^3+4x^2+x+4)

A:

Q: X-3 1-7X ガ ニ ー4x2 f-14X4|l 5-X if x>l

A:

Q: If f(x) = 6x² ln(4x), then f'(x) = f''(x) f''(x) f(4) (x) = f(8) (x) = (æ)

A:

Q: 14. If f(x) = 3x + 5 and g(x) = 2x + 1, (a) Solve f(x) = g(x). (b) Solve f(x) >g(x).

A: Given that f(x)=3x+5 and g(x)=2x+1(a) Our Aim is to solve when…

Q: 3 Given that f(x) = 3x + 7 g(x) = 4x + 5 and h(x) =3x-5 2x 13 find hf(x)

A: Explained below

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

A:

Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: If f(x) = x2/3x +1,then f'(x) -3x2- 2х (A) V3x+1

A:

Q: If f(x)=ln(6x3+3x2+3x+3), find f′(x).

A: given function :

Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: ,if 0<x< n2 ) = }e** ,if 0 < x <n2 0, otherwise 8x+2 f(x) :

A: The range of x is (0 π^2), is it right?

Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: x2 -16 f(x) = continous at x = 4. %3D x2 -3x-4

A: f(x) = x2-16x2-3x-4 continous at x=4 This can be solved using factorization of quadratic equation

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: (x -1, if 0 < x < 1 2x f(x) = |x – 3| , g(x) = -4 Vx, h(x) = %3D , if

A:

Q: Graph each function.

A: The zeros of a function are the point where the function value is equal to 0. These points are also…

Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: 9) fx)--2x+1 g(x)-3x x -1 Find (g (x)

A: Given: f(x)=-2x+1 g(x)=-3x2-x-1

Q: find the limit of each rational function (a) as xS q and (b) as xS -q.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: given f(x)=x^2-6x+8 and g(x)=x-2 solve f(x)=g(x) using a table of values. show your work

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Q: f(x)= x^2-4x g(x)= x^2+3x+8

A:

Q: 10.Given f(x)=2x-3 and g(x)= x² + 1, solve f[g(x)]

A: We have to find fgx where functions are given as: fx=2x-3 and gx=x2+1. Here we have to find…

Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

A:

Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: The function f(x) = 2x³ – 21x² + 60x – 7 has two critical values. The smaller one equals and the…

A: The given function is f(x)=2x3-21x2+60x-7

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

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

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.

A:

Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

A:

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

A:

Q: on points of f(x) = 4xª + 38x³ – 30x² + 10. (Give your list e g 3.-2) answ

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Q: I need help with number 21

A:

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

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Q: Sketch the graph of f.

A: Given,           fx=x3-2x2-4x+8x-2

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

A:

Q: f(x)=x^4-x^3-12x^2

A:

Q: 3. Find (fo g)' ; if (x)= x+4 and g(x)= 2x -5.

A:

Q: 10. f(x) = 2x3 – 9x² + 12x – 3 - -

A:

Q: how would I solve Suppose f(x)=7(2.1)^x and g(x)=56(1.3)^x. Solve f(x)=g(x) for x?

A:

Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: x)=x^4-2x^2-24

A:

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

A:

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

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.