(1) For the function f(x) ;, evaluate and simplify the following: x2 + 3 %3D (4) r -1) a (a) f(-1) (b) f(2a) (c) f(x² + 3)

Q: find a general formula for f (n)(x). f (x) = x−3/2

A: Given, f (x) = x−3/2 To evaluate, fn(x)

Q: If f(z) = 7(x – 1) + 8 , what is the value of f(1) ? %3D

A: Given : f(x) = 7(x-1) + 8 To find : f(1) = ?

Q: If f (x) = (e²)² , what is f'(x) ?

A:

Q: find  f^-1(x)= for f(x)=13+10x f^-1(x)=

A: We have to find inverse of given function.

Q: Find f(-3) for f(x) = x² – 3x + 3

A: Given f(x)=x2-3x+3 To find f(-3) we put x=-3 in the above function.

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: f(x) = x² + 3x – 5 - Suppose What is f(-3a)?

A:

Q: What is f(x) – g(x), if f(x) = x2 - 2x + 3 and g (x) = - (2x + 3)?

A: Given: f(x)=x2-2x+3 and g(x)=-2x+3

Q: x + 3 f(x) : x2 - 3x - 18 :--Select-- -Select---

A:

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

A:

Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

A:

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

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

A: Solution of the problem as follows

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

Q: 1. If f(x) = x + 3, what is f(4)?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: If f(x)=7sinx+9cosx, then f'(x)=? then f'(2)=?

A:

Q: 3) f (x) -on| -1, 2]| x²+2

A:

Q: If f(x) = x-5 and g(x) = 3x2-1, what is (f° g)(x) ? %3D

A: The given functions are:fx=x-5 and gx=3x2-1To find f∘gx

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

A:

Q: x-4 for x2

A:

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: find f'(x) given that f(x) = (2x5+2x2-3) (3x3-2x2 + 4)

A: The function f(x)=2x5+2x2-33x3-2x2+4, we have to find f'(x).

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

A:

Q: Obtain f'(7) f(x)= x / x^2+3

A: Given             f(x)= x / x^2+3

Q: 8. For the function: f(x) = x² - 7x - 4 find f( - 5)

A:

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

A:

Q: Determine £'(F}. 5s + 44s + 192 F(s) = (s - 3)(s² + 4s + 20)

A:

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: Find f '(x) given that f(x) = (2r³ + 3x²-5)(5x² - 2r+1) Show your work

A: We will use the product rule of differentiation to find the derivative

Q: 6. If f(x) = 10x – 5, what is f-1(ƒ (3))?

A:

Q: Let f(x)=4(13)2x. Which is equal to f(1)?

A:

Q: What is the value of f'(0) if f(x) = (x² – 2x – 1)i? %3D O Option 1 O Option 3 O Option 4 O Option 2

A: Given:  f(x) = (x2 - 2x - 1)2/3 To find: value of f'(0)

Q: If f(x) = 2x -1 and g(x) = 3x + 5, what is f(g(-3))?

A:

Q: -3x-11 for f (x) = 2 for x>5 Find f(-1)

A: The given function is  f(x) = -3x-11if x≤-52if x&gt;5

Q: f(x)=x^3 for = -1, 4   f(-1) =  F(4)=

A:

Q: x + 2 f(x) = x2 - 2x - 8 : ---Select-- ---Select--

A: Given query is to find the value of x where function is discontinuous.

Q: Given that f(x) = 7|x| + 3x  -1, Find: a) f(-x) b) -f(x) c) Is f(-x)= f(x)?

A:

Q: — Зх — 6 for x 5

A: To plot the piecewise function for y = f(x) We have two lines y = -3x-6 for x&lt; -3 y = 6    for x…

Q: -8x +11 given f(x) findf'(x). 7x +2 f '(x) =

A:

Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: 4) f(x) = ! g(x) – - - - 3

A:

Q: Find f'(a) for f(x) = -3+ 10z – 4æ². f'(a) =

A: We have to find the derivative

Q: the domain of the function f(x) = 3x - 2 is D= {x|x ≥ 1}. what is its range?

A: The given function is, fx=3x-2 The domain of the given function is given as, xx≥1

Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

A:

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

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.