What is the domain of the following function: f ( x ) = √ x + 4/ x − 2

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

(-∞,+∞) interval notation

it is not clear if the square root on the x only or the four too.

the answer above is if the equation is :

√x +4/x -2

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What is 4 1/3 × 2 3/5? express it in lowest terms

soldier1979 [14.2K]

We have,

$4\dfrac{1}{3}\cdot2\dfrac{3}{5}=\dfrac{13}{3}\cdot\dfrac{13}{5}=\dfrac{13\cdot13}{3\cdot5}=\dfrac{169}{15}=\boxed{11.2\bar{6}}$

To express periodic number calculated we use:

$x=11.2\bar{6}\\10x = 112.\bar{6}\\100x=1126.\bar{6}\\90x=100x-10x\Longrightarrow90x=1126.\bar6-112.\bar6\\90x=1014\\x=\dfrac{1014}{90}=\boxed{11\dfrac{24}{90}}$

Hope this helps.

r3t40

3 0

3 years ago

How do you figure out the answer?

svp [43]

we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.