Click on the pic to see it. Need help with question 2
2 answers:
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Answer:
Discontinuity of function occurs when x = 4 or x = -4
zero of function is when x=0
Step-by-step explanation:
We are given:
Discontinuity of the function occur when the denominator is equal to zero.
So, we need to find the values of x that makes the denominator zero.
The denominator is x^2 - 16
x^2 - 16 =0
x^2 = 16
x = ± 4
So, if the value of x = 4 or value of x=-4 then the function will be discontinuous.
Zero of the function i.e f(x)=0
So, Putting the function equal to zero and finding the value of x
So, zero of function is when x=0
<h2>The required equation of line is 2x - 3y - 9 = 0.</h2>
Step-by-step explanation:
Here, slope(m) = and y - intercept(c) = -3
To find, the required equation of line = ?
We know that,
The equation of a line with slope m and y-intercept c is given by
y = mx + c
∴ The required equation of line
y = x + (- 3)
⇒ y = x - 3
⇒ y + 3 = x
⇒ 3(y + 3) = 2x
⇒ 3y + 9 = 2x
⇒ 2x - 3y - 9 = 0
Thus, the required equation of line is 2x - 3y - 9 = 0.