Which choice is equivalent to the quotient below when. The problem is in the photo below.i am scared please

Mathematics

1 answer:

NeTakaya3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

Choice C, sqrt(3-x)

Discussion:

Have no fear, MBill is here!

The quotient is

sqrt (9-x^2) / sqrt( 3+x) = => as sqrt(a)/sqrt(b) = sqrt(a/b), b <> 0

sqrt ( (9-x^2)/( 3+x) ) = => as 9 - x^2 = (3-x) * (3+x)

sqrt ( (3-x)(3+x) /(3+x) ) = => cancel (3+x) from num. and denom.

sqrt( 3-x)

This is Choice C

Note the domain restriction -3 < x < = 3 guarantees that division by zero can't happen.

Thank you,

MrB

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