G(x)=4x²-3x+7

find g(3)

from an algebra ii class in the section about functions.

Find the vertical asymptotes, if any, for the following function. Please show all of your work.

f(x) = -2x(x+2)/4x�-3x-7

**

f(x) = -2x(x+2)/4x�-3x-7

To find vertical asymptotes, set denominator to 0, then solve for x

4x^2-3x-7=0

(x+1)(4x-7)=0

x+1=0

x=-1

4x-7=0

4x=7

x=7/4

..

Vertical Asymptotes:

x=-1

x=7/4

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.