Question

I need hep with an algebra 2 question: given that f(x)=3x^2-4 and g(x)=2x-6, what is g(f(2))?

Answer 1

\[\Large f(x)=3x^2-4\]
\[\Large f(2)=3\cdot 2^2-4\]
\[\Large f(2)=12-4\]
\[\Large f(2)=8\]

\[\Large g(x)=2x-6\]
\[\Large g(f(2))=2(f(2))-6\]
\[\Large g(f(2))=2\cdot 2-6\]
\[\Large g(f(2))=4-6\]
\[\Large g(f(2))=-2\]

Answer 2

Kreshnik's solution is good up until he plugs in for \(g(f(2))\) Since \(f(2)=8\)\[\Large g(f(2))=g(8)\]\[\Large g(f(2))=2\cdot8-6\]\[\Large g(f(2))=10\]

Answer 3

auff... LOL @KingGeorge Thanks for correcting me..
I wrote there:
\[\LARGE f(2)=8\] but when I plugged in I changed that :( .