Where (for what values of x) does the rational function (x – 3)(x + 4) - f(x) = 36 (x + 74)(x – 3)(x – 79) - have (a) holes? (b) vertical asymptotes?

Q: 6x2 f(x) = if x 0 a) Show that f(x) is one-to-one.

A: the given function is: f(x)=6x2                if x<0-7x-1         if  x≥0

Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: Let f(x) = 5 + x + x² and h = 0. (a) Does f(5 + 1) = f(5) + f(1)? O Yes Ο NO (b) Find f(x + h). (c)…

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Q: Write an equation of a rational function r( x P(x) with the x-axis as q(x) %3D its horizontal…

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Q: Find the slant asymptote of each function (Enter equations of the form y= mx +b.) %3D x +x 2 - a.…

A: Solution: a).  f(x)=x2+x-2x-1   divide the leading coefficients of the numerator x2+x-2and the…

Q: Given the rational function f(x) = (x+5)/(2x-5)(x+3) what are the restrictions upon x?

A: Consider the given rational function.   The restrictions on x are the values of x which makes  the…

Q: 2. Let f(x) be the following rational function: -17x + 12 (a) What are the zeros (if any) of f(x)?…

A: Given function is

Q: f(x) = [ 3x + 5 if x < 0 and 4x + 7 if x ≤ 0]  Find : a. f(-2)           b. f(0)           c.…

A: Given, f(x)=3x+5 if x<04x+7 if x≥0 To find  a. f(-2) b. f(0) c. f(3)

Q: x+5 Given f (x) and g(x) = v2x + 3. Find the horizontal asymptote for 2x² +x-45 (x) · g(x).

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Q: For a rational function of the form: p(x) = d ar+b explain how to determine the equation of the…

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Q: e2+8i = a + ib, where: a = b i = i

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Q: Let  f(x) = (2x − 9) / (x + 2). (b) Show f −1 exists. Let f(a) = f(b) and show that a = b.…

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Q: Use f(x) = 6tan(x - 2) to answer the questions below. (a) Which of the following is a horizontal…

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