Find the equation of the line through (0,-2) and (4, 18).
1 answer:
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Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
x² + y² = 34
Formula:
- (x - h)² + (y - k)² = r² where (h, k) is the center
<u>Here find the radius using distance formula</u>: → origin : (0, 0)
- √(x2-x1)²+(y2-y1)²
- √(3-0)²+(5-0)²
- √9+25
- √34
<u>Thus the equation of circle</u>:
- (x - 0)² + (y - 0)² = (√34)²
- (x - 0)² + (y - 0)² = 34
- x² + y² = 34
