Find the area of the shaded region. f(x)=x+3 g(x)=x²-3 y ◄||||X -8-7-6-5-4-3-2 ◄||||kty 876543 44 8 ܤ ܙ ܗ ܗ ܥ ܚ ܕܬ ܢ ܐ ܢ ܕܙ ܘ ܟ ܗ ܗ ܙ ܤ -7 -8 f(x) 3 4 5 6 78 g(x) X

Q: |x + 7| X < -7 X + 7.

A:

Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

Q: 5. Find the absolute extrema of f(x) = x’ + 3x – 9x + 4 on the closed interval [-4, 0].

A: The given function fx=x3+3x2-9x+4

Q: 4. Consider the function: h(x) = = Evaluate the following: (a) h(-5) (b) h(-4) (c) h(-2) (d) h(-1)…

A:

Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: Consider the function f(x) the difference quotient = 7 x²+1/ 3 4 -X-2. Compute f(xo+h)-f(xo) h

A:

Q: x+3 4) Evaluate f dx x+1

A:

Q: What is the quotient when f(x) = 6x¹ − 2x³ + x² − 3x + 1 is divided by g(x) = x² + x -2 in Z₂[x]?

A:

Q: 3.) flx) x+2

A:

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: 2 5 Let f (x) and g(x) = x+2° X-3

A:

Q: What is the domain of the reciprocal function of f(x) - 5x+1? O[x = R | x¹ -1} Olx «R] x£-1 O {x =…

A: Given function is now reciprocal of this function is given by

Q: Function f(x) is positive when 1<x<2, and it is negative when 2<x<3. If the area of the region…

A: the area from 1 to 2 is 5. so we can write the area from 2 to 3 is 7. so we can write

Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: Compute the difference quotient (a) f(x) = -3+7x (b) f(x) = 5x²5x+2 Submit Question f(x + h) − f(x),…

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: (b) Find the area of the region between the x-axis and the graph of f(x) =-x² -2x, where -3<x<2…

A: We have to sketch the region first.

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

A:

Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: 3/4(8y-9)&lt;3

A: We multiply both sides by 4 first.

Q: Use the graph of f′ shown in the figure to answer the following. (a) Is f(3) − f(2) &gt; 0? Explain.…

A: a) From given graph it is observed that, f' is positive in region (0, 4). So f(4) &gt; f(0).…