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y = 5 ft

Step-by-step explanation:

We are looking for y.

This is a right triangle, so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a = 12 and b = y   c = 13

12^2 + y^2 = 13^2

144 + y^2 =169

Subtract 144 from each side

144-144 +y^2 = 169-144

y^2 = 25

Take the square root of each side

sqrt(y^2) = sqrt(25)

y = 5

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are