Let f(x) = x? - x + 2 and g(x) = - 3x - 5. Find g(2) and f(g(2)). g(2) =|(Simplify your answer.) f(g(2)) = (Simplify your answer.)

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: If g(x) = x2 + 3x - 1, find g(1), g(-1), g(3), and g(-4).

A: The given function is, gx=x2+3x-1. The objective is to find the values of gx at the points x=1, -1,…

Q: Find (f-1) (a). f(x) = 5x3 + 3x2 + 6x + 7, a = 7 (F-1)(a) =

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Q: Given that f(x) = x² + 6x – 40 and g(x) = x +10, find f(x) + g(æ) and - express the result in…

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Q: 2. Find the zeros of f(x)=x² -x-12.

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Q: Find real values of x for which f(x) = 0. f(x) = x2 − 6x − 16

A: We have to find real values of x for which fx=0: fx=x2-6x-16 Applying given condition,…

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

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Q: f (x) = Vx² – 4.

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Q: It f(x) = x² - 4x - 3, find f (x + 3). 10. If g(x) = 2x³ + 4x − 5, find g(x − m)

A: 9) The given function is: f(x)=x2-4x-3

Q: Find  f ′(a)  f(x) = 2x4,    a = −1

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Q: Find (f-g)(x). Simplify the result. f(x) = x²-6x + 3 g(x) = 3x2 - 5

A: Given that, fx=x2-6x+3 and gx=3x2-5.

Q: The domain of f(x)=1/x is (−∞,0)∪(0,∞)(-∞,0)∪(0,∞). What is the domain of g(x)=4/x+3−7g(x)=4x+3-7?

A: Given the domain of f(x) = 1/x is (-∞ , 0) U(0 ,∞). We need to find domain of  g(x) = 4/x+3 -7 Now,…

Q: Find (f- g)(1) when f (x)= -3x2 + 4 and g (x)= a- 4.

A: Given :

Q: If f(x)=3x2-2x+4, Find f'(x) ALGEBRAICALLY

A: fx=3x2-2x+4ddxxn=nxn-1

Q: f(x) = -x2 + 4x – 3

A: answer of given question is in next step

Q: Find the domain of  f(x)= -x2+2x-6

A: The given function is:

Q: Find the domain of f(x). 2x + 2 f (x) = x2 + 5x – 6 -

A: follow next step

Q: If f(x) = x2 - 3 and g(x) = 2x + 1, then what is f o g(-13)? %3D

A: We first plug x=-13 in g(x) Then plug x=-25 in f(x)

Q: Find real values of x for which f(x) = 0. f(x) = 4x + 6

A: To find the real values of x for which fx=0. Solution: Put fx=0 and solve for x.…

Q: f(x) = -a2 +7x – 13 x²+7x- 13 Find f(-3)

A: fx    =-x2+7x-13f-3 =--32+7-3-13-xn=1      n is even-1   n is odd-32=9   and  +×-=-rule of sign for…

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: Find g(-1) wheng (x) = x2 – 5x + 2

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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: 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: If f(x) = 2x + 3 and g(x) = x² - 4, what is g(x) - f(x)?

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Q: The domain of f(x) = V4 – x² is –

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Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A:

Q: The domain of f(x)=V4-x+Vx-4 is

A: Given that f(x) = √4-x + √x-4 find the domain of function f(x) . We know that the domain is the…

Q: f(x) = 4x² + 2, and g(x) = /2x –1, find simplified formulas for ƒ • g and g• f,what is the domain of…

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Q: If f(x) = x2 – 2x and g(x) = f(2.x), what is g(-5)?

A: Solution:

Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: Find zeros of the function: x² – 16 f(x) = 3x + 2

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

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Q: Find the inflection points of f(x) = x4 + x3 − 3x2 + 2.

A: To analyze the given curve y=f(x) for inflection points (if any)

Q: Find the f’’(x) of x3 – 5x + x.

A:

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

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Q: Find (f-1)'(a). f(x) = 3x3 + 3x2 + 4x + 2, a = 2 (f-1)'(a) =

A: The given function is; f(x)=3x3+3x2+4x+2  and a = 2 When x = 0, f(0) = 0 +0 +0 + 2 f(0) = 2 The…

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

A: We have to find out

Q: If f(x)= x³ -3x² +2x -1, then what is f' (-1)

A: f(x) = x3 -3x2 +2x -1

Q: If  f(x)=3x-1f  and  g(x)=x^2+2 then what is (f∘g)(4)?

A: (fog)(4) = 53

Q: If f(x) = 2x2 -3 and g(x) = 3x + 2, what is f(x) + g(x)?

A:

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then the value of (f/g)(-2) is _____?

A: We have to find (f/g)(-2).

Q: f(x) = -2x X- 13 - 2x

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Q: f(x) = ²-12x+20 x-1

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Q: f (x) = 2x2 – x + 6 -

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Q: 6. Given f(x) = -3x*-12x3-7x +3, find f(-2) by plugging into f(x) %3D

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Q: Given f(x)=2x-4 and g(x)=x2+7x+2, find: fg(-4) - g(2)

A: Given  fx=2x-4gx=x2+7x+2 The product of two functions are given by fgx=fx·gx So…