x2 -x-30 2. (a) Analyze the graph of the rational function R(x) x+2 (b) Solve the following inequality algebraically (2+z)*(3z+1) < 0. x3+1

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Q: 4x 3x -132 Show all work. Verify the %3D Solve the rational equation x+1 x-5 x-4x - 5 solution(s).

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Q: Find the domain of the rational function. 2x g(x) = (x + 4)(x - 9) {x|x # -4, x * 9, x * -2} all…

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Q: x2 -x-30 2. (a) Analyze the graph of the rational function R(x): x+2 (b) Solve the following…

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Q: To solve a rational inequality, we factor the numerator andthe denominator into irreducible factors.…

A: To fill the given blanks.

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Q: 9x3+3x²-12x Solve for the vertical asymptote/s of f(x) = 9x3+30x²+24x

A: To find vertical asymptote we will put the coefficient of y equal to zero.

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A: Consider the rational function F(x)=x4-16x2-2x The vertical asymptotes occur at the point where the…

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Q: In Problem,find the domain of each rational function.

A: The Domain of a function is the set of possible input values where the function expression is…

Q: 3x+12 Graph the rational function f (x)= x+5x+4 12- 10- 8- 6- 4- 2- -12 -10 -8 -6 -4 -2 2. 6. 10 12…

A: Consider the function

Q: 15. Graph the rational function )- T- a.

A: Check asymptote, intercept,extrema then make graph

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Q: a) Find the domain of the rational function 2-9 f(x) = b) Solve the inequality 2 2r+1.

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Q: (a) Use the graph to determine any x-intercepts of the graph of the rational function. (x, y) = (…

A: Follow the procedure given below.

Q: What is the domain of the rational function(x)=-3x²-16x +48 Oxe 31x*-4,-2.3.4) Oxe 31x*-4, 3, 4) O…

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Q: 5. What is the solution to the quadratic inequality (1-x)(1+x) ≤0? A. 2-1 and ≤ 1. x≤-1. C. x≤-1 or…

A: # To solve quadratic equation we will use number line  #Horizontal asymptotes are horizontal line (…

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Q: 3x-21 2) Find the domain and range of the rational function w(x)- 3-20x-7

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Q: 7. A sign chart in question 5b involved a rational function that was less than zero. You may first…

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Q: 6. Over what interval(s) is the graph of the rational function positive? а. -2X, 4<X b. -2<X, x<4 d.…

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Q: In Problem,find the domain of each rational function.

A: Domain of the function is set of values for which given function is defined. Range is set of all…

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A: Consider the expression for the rational function, as f(x)=a(...) (...)(...)(...), where a is the…

Q: In Problem,find a rational function that might have the given graph.(More than one answer might be…

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Q: 3-6 - The following questions are about the rational function (x + 1)(x – 2) r(x) (x + 2)(x - 3) 3.…

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A: Please post multiple questions separately.5. We have to find the domain of the function…

Q: In Problem,find the domain of each rational function.

A: Given: Rx=xx3-8 To Find: The domain of the given rational function.

Q: x²-x-6 4. Find the domain and range of the rational function f(x) = x+2 a. D(-o, -2) U (-2, co);R…

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Q: x² – 4x 6. Find the domain of the rational function: f(x) = x²(x – 4)

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Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: 2. To solve a rational inequality, we factor the numerator and the denominator into irreducible…

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Q: _x+2 x² – 6x + 8 141. For rational function, f(x) = - ind the domain of the function O solve f(x) =…

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Q: Find the domain of the rational function.   R(x)= 2+8x         x3-6x2-7x

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Q: 9. 2X +3 = 5 %3D 3. 10. g(x) : x²+4x+4

A: Here we have to find out rational equation, rational function, rational inequality.

Q: olve the rational equation: 1/x-2  + 1/x-3  =x/(x-2)(x-3)

A: