what is function notation?
Using function notation:f(x), g(x), h(x), etc.
If f(x)=2x^2 -3x +2, find: f(0), f(2), f(-4) and f(x+3).
Again, f(x)=2x^2 -3x +2. Also, suppose that g(x)= x-2. Find f(x)*9(x)
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OpenStudy (anikate):
@Calcmathlete
OpenStudy (anonymous):
Is that 9 near the end supposed to be a g?
OpenStudy (anikate):
yes
OpenStudy (anonymous):
And that * sign is a closed dot right? Not a hollow one?
OpenStudy (anikate):
its a multiplying symbol
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OpenStudy (anonymous):
Alright.
For the f(0), f(2), f(-4), and f(x + 3), just plug them in for x and simplify. For instance, f(0) would be:
\[f(0) = 2(0)^2 - 3(0) + 2 \implies 2\]
For the f(x) * g(x) part, just multiply them together.
\[f(x) * g(x) = (2x^2 - 3x + 2)(x - 2)\]
OpenStudy (anikate):
oh ok for the first one can you just explain f(x+3)