SAT Subject Test Mathematics Level 1

Perform the inside  functions   first:

Then    perform the outside functions   on  the results:

Now you can find    the difference:

f(g(−3))−g(f(−3))   =   36−18   =   18

3 . D

The expression  7   −   (4  −   x)^2 will   be  at  its maximum when    the part    after   the

minus   sign,   (4  −   x)^2 ,  is  as  small   as  it  can be. Something   squared can never

be  less    than    zero,   so  the whole   expression  will    be  at  its maximum when

(4  −   x)^2    =   0:

4 . E