If f (x) = x² – 1, and g(x) = x + 2, then g(f(x)) = [ ? ]x²+[ ]x+ [ ]

Answer 1

Just like g(3) = 3 + 2, g(f(x)) involves plugging f(x) in for x.

g(f(x)) = x² -1 + 2 = x² + 1

So, your blanks are 1, 0 and 1.

Answer 2

Hi Tamia L.,

Just plug in that expression for f(x) in where "x" is in the formula for g(x), and collect like-power terms. That's all there is to it!

-- Cheers, -- Mr. d.