2x-1 (b) The function g(x) is a rational function, hence the domain is the set of values of x such that the 3x+5 denominator is not zero, that is, x # . To determine the range if we set g(x) as y and solving for x we get, 5y+1 X = hence the range is the set of values of y such that the denominator is not zero, that is, y #: 2-3y

Q: Solve for a in the rational function (x+a)/(2x2+x-15). Include the coordinates of the point of…

A: To solve for 'a' in the rational function (x+a)/(2x^2+x−15) and find the point of discontinuity, you…

Q: If f(x)-x2 for all real numbers, what is f-1 for x>4?

A:

Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

Q: Determine the domain of the following rational function f (x) = 6 3x + 1 4x² – 16 all real number…

A:

Q: Determine a rational expression that could have the simplified form q(x) =(x-8)/x restrictions x ≠…

A: Given,            The simplified form qx=x-8x restrictions x ≠ 0,+8,-8.To find : Determine a…

Q: List all possible rational roots for the function f(z) = 7x* – 4x – 5z² – 6x + 119. Give your list…

A: givenf(x)=7x4 -4x3 -5x2 -6x +119