Mathematics, 06.10.2019 15:30 GreenHerbz206

Find the domain of the following functions ?

a): f(x) = (x+5)/x

b): f(x) = 1/(x-3)

me with this !

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Answer from: Ain805

A) x ≠ 0

B) x ≠ 3

Step-by-step explanation:

The domain is all the possible values of x such that f(x) exists.

A) f(x) = (x + 5) / x

x can't be 0 (can't divide by 0), so the domain of x is all values other than 0.

You can write this in interval notation:

(-∞, 0)⋃(0, ∞)

Inequality notation:

x < 0 or x > 0

Or simply:

x ≠ 0

B) f(x) = 1 / (x - 3)

x can't be 3 (can't divide by 0), so the domain of x is all values other than 3.

(-∞, 3)⋃(3, ∞)

x < 3 or x > 3

x ≠ 3

Answer from: Quest

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring). so find the distance between (1,2) and (4,2). that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3. it is a regular polygon which means all sides are congruent. you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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Find the domain of the following functions ?

a): f(x) = (x+5)/x

b): f(x)...