breanna1999
  • breanna1999
Let f(x)=x^2+x+2 and g(x)=2x^2+5 find f(g(x))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jdoe0001
  • jdoe0001
hint: \(\bf f(x)=x^2+x+2 \qquad {\color{brown}{ g(x)}} =2x^2+5 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ g(x)}})^2+({\color{brown}{ g(x)}})+2 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ 2x^2+5}})^2+({\color{brown}{ 2x^2+5}})+2\)
jdoe0001
  • jdoe0001
expand and simplify :)
breanna1999
  • breanna1999
I don't get it

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jdoe0001
  • jdoe0001
which part?
jdoe0001
  • jdoe0001
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 :)
jdoe0001
  • jdoe0001
if we say were to use "cheese" instead than \(\bf f(cheese)=cheese^2+cheese+2\)
jdoe0001
  • jdoe0001
f( value for the variable ) <--- so whatever is in there, the variable, or "x", takes on that
jdoe0001
  • jdoe0001
it just so happens, in this case is a function, g(x)
Nnesha
  • Nnesha
say cheese!!
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