if f(x) = 3x-5 , g(x) = 4-x2 then find the values of  f(f(2)) and g(g(3))

Q: For the value of x does the function F(x) = x3 - 3x2 attain the absolute maximum in the interval…

A: For absolute maximum and minimum we need to calculate the value of f (x) on critical points and…

Q: x² - x - 12 f (x) = x2 - 2x- 8

A: In the question function given is-        f(x)=x2-x-12x2-2x-8 Simplifying the given function we get-…

Q: 2) f(x) = -5x² + 3x -7, find: f(x + h)- f(x)

A: According to the problem, we have

Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

A:

Q: 1. f(x) = x3- 3x2 -9x-5

A: NOTE- Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: 2-f (x)=x2-2x

A: Given function is f(x)=x2-2x Find the inverse of a given function i.e., f-1(x)

Q: 1. f(x) = x* – 27x² – 14x + 120 -

A:

Q: 2 f(x) = √2x + x².

A:

Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: Find (f-1)'(a). f(x)=5x3+4x2+5x+2, a=2

A:

Q: +x - 1, find (f-1)'(3).

A:

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

A:

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

A: fx=4x2+3x+2xTo find f'x and f'3

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 all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

A:

Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: 2. Solve for f-1(x) when f(x) = v2x + 3. %3D

A: Write x in terms of y for calculating inverse of y.

Q: Find the value of f(x)=-16x3+18x2-x+2 at x= -2

A: Given: fx=-16x3+18x2-x+2 To Find:  The value of fx at x=-2

Q: 2- 1y = f(x)} -4 -2 2 -2-

A:

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: Solve f(-4) for f(x) = -4x +9 f(-4) = [ ? ]

A: Given: f(x)=-4x+9

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: If  f(x) = x2 - 2x - 2  then f(-2) =

A:

Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x…

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the…

Q: f(x)=3x2-4x-10 is then f'(1) will be

A: Given, f(x) = 3x2-4x-10

Q: (x3-2x)²(1-2x)ž f(x) (3x-4)*

A:

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

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

A:

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: Solve f(-4) for f(x) = -4x+ 9 f(-4) = [ ? ]

A: f(x)=-4x+9

Q: -1- * f(x) = 6v4 + 3x² find f(2) %3D -2-* 3 f(x) = 2x- find f(2)

A:

Q: Solve for X if F=G/2x

A:

Q: (-1, xS-4 2) f(x) = {2x + 2,-4 0 -8 64-2

A: We have to find the graph of the given function

Q: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: A- TI x + 2 51. f(x) = ;² – 3x – 10 -

A:

Q: The functions f and g are defined by f(x)=x^2 and g(x)=2x, respectively. Which equation is…

A:

Q: Find f(x) = 3x2 + 9x – 13 as x = -6

A: We have to find the value of the function f(-6).

Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: 2. f(x) = 3x - 1; g(x) = 4 – 2x

A:

Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: Find f(-3) whenf (x) = 2x2 +2

A: Solution of the problem as follows

Q: Find f'''(-3) f(x)=4x^5-3x^4+5x^2-15

A:

Q: 2. Find f'(x) if f(x) = (x³)(8x² – 4) -

A: Given,

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.