If g(x)=2x+1 and f∘g =6x-7, determine an expression for f(x)

Q: When f(x)=9x2−3x−1, evaluate f(−3) f(-3)=

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Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: If f(x) = (5x – 3)+/3, find f- (x)

A: We have to find inverse function

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: Find f'(2), if f(x) = In(2x³ – 3x).

A: Given,          fx=ln2x3-3x

Q: If f(x2-3)=2x2-3, find f(0).

A:

Q: If f'(x)=7x ·x -4 and f(4)= - 5, then what is f(5)?

A: A detailed solution is given below.

Q: If  f(x) = x2 - 2x - 2  then f(-1) =

A: Given, f(x)=x2-2x-2 we can obtain f(-1) by substituting x=-1 in f(x)=x2-2x-2

Q: Find f. f"(x)  =2/3x2/3

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Q: If f'(x)=7x x-4 and f(4)= - 5, then what is f(5)?

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Q: Find f if f"(x) = 12x2 + 6x - 4, f(0) = 4, and f(1) = 1.

A: The given function is: f"(x) = 12x2 + 6x - 4 To find the f, integrate the f"(x) = 12x2 + 6x - 4…

Q: find f' (7) , f(x)= 2x^2

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Q: If f(x)=7-2x+x^3,find f(0)

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Q: If f(x) = 4x 2 – 3x + 6, find f(-2).

A: We  have  given function  f(x) =  4x2-3x+6 To Find : The value of f(-2) Concept If we have a…

Q: When f(x) = 4z + 3x – 2, evaluate f(- 3) | f(- 3)

A: f(x) = 4x² + 3x - 2 Putting, x = - 3, we get, f(- 3) = 4(-3)² + 3(-3) - 2 So, f(-3) = 36 - 9 - 2 So,…

Q: 2) Find f'(x) if f(x) = 6x¬2 + 8x3 + 11x.

A: We have to find f'(x) where f(x)=6x-2+8x3+11x.

Q: If f(x-1)=5x2-10x+2, find f(1).

A: Given that: f(x-1)=5x2-10x+2

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

A: fx=4x2+3x+2xTo find f'x and f'3

Q: f(x)=x² - 2x - 4.

A:

Q: If f(x) = x³ - 4x² + 3x - 1, find f(-2).

A: Since, it is given that f(x)=x3-4x2+3x-1 -(i)Our Aim is to find f(-2)=?

Q: find f(g(3)) when f(x)= -8x+5 and g(x)= -3x^2-7x+5

A: Given the query is to find value of indicated function.

Q: If f(x) = 3x + 5x2 – x + 6, find f(0) and f(-2).

A: We have given fx=3x3+5x2-x+6. We have  to find f0 and f-2

Q: If f(x) = x' – 8x + 2, find f (-4).

A: We have,  fx=x3-8x+2           ⋯⋯1

Q: If f(x) = x² – 2x + 5, find f(-4).

A: Given,f(x)=x2-2x+5,To find: f(-4). Solution: f(x)=x2-2x+5 substituting,x=-4 ,in f(x) we get f(-4)…

Q: If f'(x) = 5x* – 3x2 + 4 and f(-1) = 2, then find f (x).

A:

Q: If f(x) = 3x – 3e", find: f'(x) = f'(3) = %3D

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Q: Find f''(x) f(x)=3x^2-13x-4/x^4

A: Given Find f''(x) f(x)=3x^2-13x-4/x^4

Q: If f(x)=3x^2-3x+7, find f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If f(x) = 2x² – 3.x +5 , find f(4).

A: Given f(x)= 2x2-3x+5 Now we have to find f(4)  by substituting 4 in place of X and evaluate as shown…

Q: If f(x) = 7+ 3 – 3x², find f'( – 5). -

A:

Q: Find f5(x) if f(x)= 3√3x+2

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Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A:

Q: If f(x) = 3 + 2x – 5x2, find f'(5).

A: Use the power rule of derivative to differentiate the function.

Q: If f(x) = (2x + 1) (x - 3)°, then f'(2) = %3D

A:

Q: If f(x)=-5x²+3x-2, find 13) f(1) *

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Q: if (gof)(- 1) = 3 and g(x) = 4x 1, find f(-1) :

A: Given that (gof)(-1)=3 and g(x)=4x-1 find f(-1)

Q: f(x) =-2x - 4 if xs2 |4x -9 if x> 2 3.

A:

Q: if f(x)=2x2-Ax+3sqr(x) and f(9)=126 then what value of A do we get

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Q: Evaluate f(-3) for (x)=x^3+3x+17

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Q: If f(x) = 3x2 +2x -1, find f(0), f(3), and f(-2).

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Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: If f(x) = 5 + 4x – 2x?, find f'(4).

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

A: Given that f(x) = x2-3x+4. So,          f(-2) = x2-3x+4                 = (-2)2-3(-2)+4.…

Q: If f (x) = -x2 - 6x + 3, find f (-2).

A: f(x)=-x2-6x+3 given x=-2

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

A: Solution of the problem as follows

Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

A:

Q: If f'(x)=2x5-8x3+10cosx then state a possibility for the equation of f(x).

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Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10