1. Show algebraically that f (a) -7x +3 is a one-to-one function |

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Show that the function f(x) = 3x + 4 is one-to-one.

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Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function g-1(7) without finding an…

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Q: 5. Sketch the function f(x) x(x - 3)(x – 4)

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Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

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Q: - Find and classify the discontinuities of the function f(x) x2 - 1

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Q: let f(x)=3x-1, h(x)=-x+2 find (f h)(4)

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Q: Find the inflection point of the function. (Hint: g"(0) does not exist.) g(x) = 4x|x| (x, g(x)) =

A: First break the modulus function than check the existence of g"(x).

Q: 20. Determine algebraically whether the function 5x f(x) = x - 9 is even, odd, or neither.

A: Given f(x)=5xx2-9 If f(-x)=-f(x), then the function is said to be odd function. If f(-x)=f(x), then…

Q: Let f(x)= 2x - 1, h(x)= x + 1 Find ​(f◦​f)(−2​)=

A: Given functions are

Q: Determine algebraically whether the function 5x f(x) x - 9 is even, odd, or neither.

A: Given: fx=5xx2-9 To Find: To check the given function for even, odd or neither.

Q: Let f (x) = x²+1° 1) What is the domain of f ?

A: Consider the function  fx=xx2+1

Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f(g[h(1)]) without…

A: given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 the given expression is: fgh1

Q: snip

A: Consider the statement. The domain of the function fx=x2-4x is x|x≠±2.   A polynomial function is…

Q: Evaluate the indicated function for f(x) = x2 - 2 and g(x) - 1 algebraically. (f - g)(2)

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Q: +x²) ial f(x) -3 -5 -2 -24 -1 -7 10 15 20 2 of the function repre 12

A: Given query is to find the degree of polynomial from the table.

Q: 3 Consider the function f(x) = 2 + 1+ (x + 1)2

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Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

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Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: restrict the domain of the function f(x)=x^2-4

A: Here we have to find the domain of the given function.

Q: 4 is 14. True or False The domain of the function f(x) {x|x + ±2}.

A: We have the given function as fx=x2-4x As we know that, the domain of a function is the input…

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: 3 Consider the function f(x)= 2+ 1+ (x+1)2

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: 3 Sketch a graph of the function f(x) = ax(x + 3)°(x – 1) , for some positive constant a. -

A: Given, f(x)=ax(x+3)3(x-1)2 To sketch the graph of the given function f(x). The given function is not…

Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

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Q: find all relative extrema of the function  f(x)= -4x^2+3x+6

A: The given function is f (x) = -4x^2+3x+6.In order to find the relative extrema of the function f,…

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: 1 g(x) 5 at x = 3 3

A: given function            g(x)=15.13xat x=3substitute x=3 in the given function

Q: determine algebraically whether the function f(x) =x3-2x+1 is odd, even or neither

A: Given function is Replacing x by -x , we get

Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: x² – 4 Ax) xx – 2

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Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

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Q: 8 Find the domain of the function f(x) x-7

A: Domain:- All those values of x such that f(x) exist.

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: 3. (a) If f:X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: Answer is NO  It is not necessary that if g∘f is one one then g must be one . But some time it may…

Q: Determine the value of x of the discontinuous function: * x – 1 x 3

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Q: Find the inflection point of the function. (Hint:  g''(0)  does not exist.) g(x) = 4x|x|

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Q: Let h(x)=f(x)g(x). If f(x)=x^2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)?

A: We have to find function

Q: 2. Let f be the function defined by 9) f (x) = x²+2x+1 ,Find: -f (3) +fヒ3)

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Q: 1- Determine algebraically whether the function F(x)=(x²+ 3] (x'-2x)*is even, odd, or neither?

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Q: 49 The domain of the function f(x) is all real numbers x except for z where x equals 10x – 20 -

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 3. (a) If f: X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: