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10 Mar 2022
1.) f[g(x)]
Part 2. Fractions take input, operate on the input, and generate an output. Sometimes the Input can bea nother function. The output represents the composition of functions. Try it!
f(x)=2 x+3 h[x] = x-2 f (x) =
a) f[h()]
b) f[h(x)]
c) h[j()]
d.) h[j(x)]
Phew all of these parenthesis are getting tiring to write. When problems like (f) are read aloud it would sound like "h of j of x ". Mathematicians saw this double "of" and replaced with this symbol * . When you see it think "of". A problem like h[j(x)] could also be written as h = j and would be read "h of j". Try it!
g) h[(7)]
h.) h [f()]
i.) h[f(x)] = h f
j.) f h
k.) j f
l.) h h
m.) f f
n.) j[h(2)]
1.) f[g(x)]
Part 2. Fractions take input, operate on the input, and generate an output. Sometimes the Input can bea nother function. The output represents the composition of functions. Try it!
f(x)=2 x+3 h[x] = x-2 f (x) =
a) f[h()]
b) f[h(x)]
c) h[j()]
d.) h[j(x)]
Phew all of these parenthesis are getting tiring to write. When problems like (f) are read aloud it would sound like "h of j of x ". Mathematicians saw this double "of" and replaced with this symbol * . When you see it think "of". A problem like h[j(x)] could also be written as h = j and would be read "h of j". Try it!
g) h[(7)]
h.) h [f()]
i.) h[f(x)] = h f
j.) f h
k.) j f
l.) h h
m.) f f
n.) j[h(2)]
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