If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (f/g)(x)? A all real values of x
B all real values of x except x = 5
C all real values of x except x = –5
D all real values of x except x = 5 and x = –5

justin bieber ml.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

a

step-by-step explanation: