Question

Let f(x)=x^2+x+2 and g(x)=2x^2+5 find f(g(x))

Answer 1

hint: \(\bf f(x)=x^2+x+2 \qquad {\color{brown}{ g(x)}} =2x^2+5
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ g(x)}})^2+({\color{brown}{ g(x)}})+2
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ 2x^2+5}})^2+({\color{brown}{ 2x^2+5}})+2\)

Answer 2

expand and simplify :)

Answer 3

I don't get it

Answer 4

which part?

Answer 5

notice, the "g(x)" becomes the ARGUMENT for f(x), thus any "x" inside f(x)
becomes "g(x)"
and it turns out that g(x) is an expression, so once expanded, it looks like so :)

Answer 6

if we say were to use "cheese" instead
than \(\bf f(cheese)=cheese^2+cheese+2\)

Answer 7

f( value for the variable ) <--- so whatever is in there, the variable, or "x", takes on that

Answer 8

it just so happens, in this case is a function, g(x)

Answer 9

say cheese!!