x - 3 7 f(x) = 7x + 3; g(x) f and g are inverses of each other. f and g are not inverses of each other.

Q: f"(x) = -2 + 36x – 12x², f(0) = 2, f'(0) = 14 f(x) :

A:

Q: f(x)=2x-5        g(x)=3x2-3 (g o f)(x)

A:

Q: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

A:

Q: f(x)=3/x-7 and g(x)=x2+5x what is (f+g)(x)

A: Given  f(x) = 3x-7  & g(x) = x2 + 5x

Q: 12) f(x) = 3x° – 2x2 g(x) = 3x – 5 Find (f g)(1)

A:

Q: f(x)=3x+5 and g(x)=x^2 -2x-5 What does (G o F) (5) equals

A: Consider the functions

Q: f(x) =1-x² 2.

A: The answer is given as follows :

Q: x2 -4 if x 3

A: Find the values of a and b that makes fx continuous everywhere fx=x2-4x-2    if x<2ax2-bx+3    if…

Q: F''(x)=6x+4 and f'(-3)=-2 and f(-3)=-1 Find f'(x)= and find f(2)=

A:

Q: F(x)=x3+3x2   G(x)=7x2-2 f/g (x) =  Domain=

A:

Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

A:

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: x2 - 4x - 12 x +2 Find f'(x), f"(x), and f (x) for the function f(x) =

A:

Q: 4x +1 Find the inverse of f(x) -5x – 1 f "(x) =

A:

Q: f(x)=2x-7 and g(x)=x+2/7 what is f(g(x)=

A:

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

A:

Q: F(x)=3x+1; g(x)=x2-16 find (fg) (x)

A:

Q: f (x) = *-1 and g(x) = 2 7 x-3'

A:

Q: x+3 6. Sketch f (x) x²-4

A:

Q: f"(x) = 5x – 4 and f'(-2) = 2 and f(-2) = 2. 5x Find f'(x) = 2 4х — 16 and find f(3) =

A:

Q: f(x)=x^{3}-1

A:

Q: (a) f'(x) = -12 X = 0,-1 (b) f'(x) = 0 X = 1,-6 (c) f'(x) = 12 x = 252 X X X

A:

Q: F(x)=-4x+2    and    g(x)=x2-5  find the difference (g-f)(x)

A: Given that the two functions,

Q: f(x) = (x-1)^3 (x-1) (x-2)

A:

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: |x² + 2, |x+2, x 1

A: To sketch the graph of the function

Q: X-2 9) f(x) = %3D x2 - x - 30

A:

Q: f(x) -3x + 5 -3 く x < 0 三 -3 X = 0 -2x

A: The given function is fx=-3x+5    if  -3≤x&lt;0-3            if   x=0-2x         if    x&gt;0.…

Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

A:

Q: f(x)=3 x2 + 12 x - 9 and g(x)= and h(x)=9* f (h (-1/2 ) ) = |-5

A: Given f(x) = 3x2+12x-9 g(x) = x-1 h(x) = 9x

Q: f'(x)=3x^2-6x-3. =3(x-1)^2-6. For what values of x is f'(x)=0?

A: f'(x)=03(x-1)2-6=03(x-1)2=6 (x-1)2=63  (x-1)2=2 (x-1)=±2

Q: x-5 If f (x) = find f (4) x2 -10x+25

A: Given, f(x)= (x-5)/(x²-10x+25) x=4

Q: f(x) = x° + 3x³ + 2x 2 - f'(x) = f'"(x) = f'(x) = f(4) (æ) =

A:

Q: f (x) = -1 + √x-2. g (x) = |3/2x-10| , h (x) = 4+x²/x+8 find f (7), g(4), and h (2)  simplify

A:

Q: x²+3x If f(x) = , then what is f"(1)? x +1

A:

Q: x2 + x - 7 f(x) = %3D x² - 7 f'(x) = %3D

A: We have f(x)=x2+x-7x2-7 By quotient rule, we get

Q: The inverse function of f(x) 8x + r-1 11 – 8x 8x – 6 -

A: We have,  f(x)=6x+118x+8 Now, we need to obtain the inverse of this function. The inverse of the…

Q: f(x) = x³ -x² ,[-1,2] 5. g(x) = (3,5] 4. x-2

A:

Q: (3) f(x)= x/4-x²,[-1,2]

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: f(x)=√x-2 X-4 find lin f(x) Xx4

A: Given:- fx=x-2x-4 To find:- limx→4fx

Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

A:

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: Given: f(x)=2x2+3x-5, g(x)=x+9. Find: | (f-g)(3) (f-8)(3) = %3D

A:

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: f(x)=4x+5 and g(x)=7-9x (f/g)(x)=

A:

Q: f(x)=2x-5 and g(x)=-x2+5 (a)(fg)(x) multiplication (b)(f(x))2 (c) g(x)-f(x)

A: f(x)=2x-5 and g(x)=-x2+5 (a)(fg)(x) multiplication (b)(f(x))2 (c) g(x)-f(x)

Q: f(x)=4x+5 and g(x)=x^2+7x−18. (f∘g)(x) What is the domain of (f∘g)(x)

A:

Q: f(x) = x 2+ 4x g(x) = 2x + 5 Find f(-7) - g(-7)

A: Given: fx=x2+4xgx=2x+5 To find f(-7)  plug -7 in the given function f we get,…

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

A: See the details solution in below

Q: f(x)=x^2-3x+9 g(x)=3x^3+2x^2-4x-9 find the (f-g)(x)

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.