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What is the discontinuity and zero of the function fx the quantity of 2 x squared plus 5 x minus 12 all over x plus 4?
f(x) = (2x^2 + 5x - 12)/(x + 4)
as given, is not defined when the denominator is 0 ie when x + 4 = 0 or x = -4.
However, 2x^2 + 5x - 12 = (x + 4)*(2x - 3) so that the function can be simplified to (x + 4)*(2x - 3)/(x + 4) = 2x - 3
This has a zero when 2x - 3 = 0 ie 2x = 3 or x = 1.5
What else can I help you with?
What is the integral of f prime divided by the quantity f times the square root of the quantity f squared minus a squared with respect to x where f is a function of x and a is a constant?
∫ f'(x)/[f(x)√(f(x)2 - a2)] dx = (1/a)arcses(f(x)/a) + C C is the constant of integration.
Solve x over the quantity x minus one equals onehalf minus the quantity x plus one over the quantity x minus two?
irdk
What is the product of four x squared minus one over two x squared minus five x minus three and x squared minus six x plus nine over two x squared plus five x minus three?
By factoring I get x-3 divided by x+3
What is the solution to x squared minus x minus 72?
xsquared minus x minus 72
M Squared minus M Squared and why?
0x-x=0
What is the discontinuity of the function f(x) the quantity of x squared minus 4 x minus 12 all over x plus 2?
In such cases, there is usually a discontinuity when the denominator is zero. In other words, solve for:x + 2 = 0
Fifteen quantity x minus fifteen squared minus 15?
x = 1
What does x squared minus 2x plus 1 equal?
This expression factors as x -1 quantity squared.
What is the answer for the quantity six squared plus three times ten point five end quantity minus eight point two?
68.3
How do you factor the expression two m squared minus eight?
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
What is the graph of the function fx the quantity of x squared plus 3 x minus 4 all over x plus 4?
It is the straight line through the points (0, -1) and (1, 0).
What is the integral of f prime divided by the quantity f times the square root of the quantity f squared minus a squared with respect to x where f is a function of x and a is a constant?
∫ f'(x)/[f(x)√(f(x)2 - a2)] dx = (1/a)arcses(f(x)/a) + C C is the constant of integration.
How do you you factor 3x squared minus 25x minus 28?
3x squared minus 25x minus 28
What is the integral of f prime divided by the square root of the quantity a squared minus f squared with respect to x where f is a function of x and a is a constant?
∫ f'(x)/√(a2 - f(x)2) dx = arcsin(f(x)/a) + C C is the constant of integration.
What is the answer to 2x squared minus 4?
2x squared minus 4
What are the zeros of the function f of x equals 5x cubed minus x squared minus 18x plus 8?
-2, 1.74 and 0.46
What is the integral of the derivative with respect to x of f divided by the quantity q squared f squared minus p squared with respect to x where f is a function of x and p and q are constants?
∫ f'(x)/( q2f(x)2 - p2) dx = [1/(2pq)ln[(qf(x) - p)/(qf(x) + p)]
