Question

Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four, solve for f(g(x)) when x = 5.

Answer 1

The trick to this is to work from the inside out. You have f(g(x)), so you will begin with the g(x)function, the one that's the "most" inside. Put 5 in for the x in the g function, like this:

Answer 2

\[g(x)=\frac{ x-1 }{ 4 }-->\frac{ 5-1 }{4 }=\frac{ 4 }{4 }=1\]

Answer 3

Now take the result from that, the 1, and replace the x in the f function with it, like this:

Answer 4

\[f(1)=(1)^{2}-3(1)+3-->1-3+3=1\]So the whole thing equals 1.

Answer 5

That's how you do those...work from the inside out.

Answer 6

why do they have to make it so complicated why cant they just say that ! ugh !

Answer 7

thank you so much !

Answer 8

@IMstuck

Answer 9

You're welcome!

Answer 10

ty for the medal!

Answer 11

:)