Question

Fan and Medal
Simplify the expression. Identify the restrictions on the domain.

Answer 1

by some miracle the denominator factors as
\[x^2+14x-24=(3x-4)(x+6)\]
set it equal to zero, solve for \(x\) and that will give you the restriction on the variable (since you cannot divide by zero)

Answer 2

typo there, i meant \[3x^2+14x-24=(3x-4)(x+6)\]

Answer 3

then factor the numerator, and cancel any common factor top and bottom

Answer 4

what do you mean set it to equal zero?

Answer 5

i mean put
\[(3x-4)(x+6)=0\] and solve for \(x\)

Answer 6

And the answer would give me the restriction of the domain?

Answer 7

yes

Answer 8

I got -5 and -1

Answer 9

@Koikkara

Answer 10

by some miracle the denominator factors as
x 2 +14x−24=(3x−4)(x+6)

set it equal to zero, solve for x and that will give you the restriction on the variable (since you cannot divide by zero)
then factor the numerator, and cancel any common factor top and bottom