Find and simplify the expression if f(x) =x- 2. f(x-1) f(x-1)=| (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Q: Simplify the difference quotient g(x)=f(x+h)-f(x)/h when f(x)=1/x. What happens to g(x) as h -> 0?

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Q: find the difference quotient of f(x)= x^2- x + 1

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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: Use f(x) = 5x - 2 and g(x) = 3 - x² to evaluate the expression. (a) f(f{2))

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

A: Topic:- function and derivatives

Q: Find the domain of f(x). f(x)=\frac{3x-1}{6x+24}f(x)=6x+243x−1​

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Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: Simplify the expression 2x2 + 9x + 4 x2 + 5x + 4 2x2 – 3x + 1 x2 + 3x – 4 and give your answer in…

A: 2x2+9x+4x2+3x-4÷x2+5x+42x2-3x+1=2x2+9x+4x2+3x-4*2x2-3x+1x2+5x+4....(1) now…

Q: What is the value of x if f(x) = -3? %3D

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Q: Find the domain of the function written in interval notation. f(x)= square root of x-4 divided by…

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Q: Let f(x) = an (x4 - 3x2 - 4). If f(3) = -150, determine the value of an.

A: Given fx=anx4-3x2-4 And f3=-150 Put x=3 in fx f3=an34-3·32-4-150=an81-27-4-150=an50an=-15050an=-3

Q: emes value of f(x) = 6x* - 4x° over ti

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Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: Given that f(x)=x^2+3x-70 and g(x)=x-7, find (f-g)(x) and express the result in standard form

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Q: 5. If f(x) = x – 4, find f(-2)

A: Given :                 f(x) = x2 - 4 To find :               f(-2)

Q: Find the value of x in f(x) = x^2-6x+8

A: Given ,  f(x) = x2 - 6x + 8 We have to find the value of x  x2 - 6x + 8 = 0  x2 - 4x - 2x + 8 = 0

Q: compute the difference quotient f (x + h) - f (x)/h. Simplify your answer as much as possible. f (x)…

A: To find the difference quotient:f(x+h)-f(x)h f(x)=-2x2+x+3 Solution: Given,f(x)=-2x2+x+3…

Q: compute the difference quotient f (x + h) - f (x)/h. Simplify your answer as much as possible. f (x)…

A: Given. f(x)=-x2+2xf(x+h)=-(x+h)2+2(x+h)           =-x2+2xh+h2+2x+2hf(x+h)=-x2-2xh-h2-2x-2h

Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given:    Function is given

Q: When f(x) = 10x + x + 3, evaluate f(-3)

A: Given, f(x)= 10x+x+3 Simplifying the above equation we have, f(x)= 11x+3

Q: Given f(x)=x² –x, find f(-6).

A: Given function is                 f(x) = x2 - x

Q: Find and simplify (f(x+h)-f(x))/h where f(x)=7+5x-2x2

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Q: Find derivative.

A: Given: The function, fx=x46-9x.

Q: 49. Find (f)'(3) if f(x) = x³ + x + 1.

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

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Q: compute the difference quotient f (x + h) - f (x)/h. Simplify your answer as much as possible. f (x)…

A: the given function is: fx=2x3+x2 we have to compute the difference quotient fx+h-f(x)h, then we have…

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: Find the difference quotient.  f(x)=square root of x-3 (f(x+h)-f(x)/h)

A: Given          f(x)=x-3

Q: Given: f(x)=10x-x^2; find f(5)=____?

A: The given function is f(x) = 10x – x2.To obtain the value of f(5), substitute 5 for x in the given…

Q: Find the value of x if f(x) = 4x - 8

A: We have to find the value of x  If f(x) = 4x - 8 Put f(x) = 0

Q: Use f(x) = -4x+1, h(x)= |9-3x| Find h(8) -f(-7)

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

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Q: Find f(-2), when f(x) = -0.5x + 12

A: Given that f(x) = -0.5x + 12  To find: f(-2)

Q: 82. If f(x) = (1 + x')30, what is f (58 (0)?

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Q: Differentiate and simplify. f(x)=Je* +In (x² +4)

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Q: Find and fully simplify the expression f(5x+3) for f(x)=4x-4.

A: Given f(x)=4x-4.

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

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Q: Given f(x) = 5x - 3, find f(-3).

A: Consider the provided function, fx=5x-3 Find the value of f-3.

Q: Find the domain of f(x)= 1/ x-6

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Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: Does solving for F(-x) mean to replace each x with -1? F(-x)= 2x+1           3x-5

A: Consider the function,

Q: Give the domain for f(x)= x-1/x^2+x-30 in interval notation

A: See attached file for a step by step explanation to find the required domain.

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

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Q: Find f(-8), if f(x) = x² + 5x - 27

A: The given function is: f(x)=x2+5x-27

Q: Find f(-x) - f(x) for the given function f(x) = x3 + x - 5 .Then simplify the expression.

A: Given fx=x3+x-5 To find f-x-fx

Q: Suppose that f(x)=√8-2x  Find the value of : f(-14)

A: Given:

Q: Let f(x) = 3x + 5 and g(æ) After simplifying, 2x + 3x. (f + g)(x) =

A: Consider the equation

Q: find f(x) given that f'(x)= 4x3-12x2-18x+21 and f(2)=81

A: Given: -

Q: Find the difference quotient and simplify. f(x)=x2-2x+1,  (f(2+h)-f(2))/h    h cannot = 0

A: Find f(2+h) by plugging x=2+h in f(x)