Where is the hole for the following function located?
f (x) = startfraction x + 3 over (x minus 4) (x + 3) endfraction
answer choices ->

x = –3
y = –3
x = 3
y = 3

At x = -3 is located a hole.

In this problem, we have the following function:

A hole will lie at the x-values that makes the function undefined, that is, when the denominator is zero. In a mathematical language:

From this equation, we get two solutions:

At those x-values the function will have a hole. From the choices:

At x = -3 is located a hole.

Derivative:

#LearnWithBrainbly

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

t hope this

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