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Snezhnost [94]
3 years ago
7

Jonathan rode 1.05 miles on Friday 1.5 miles on Saturday 1.25 miles on Monday and 1.1 miles on Tuesday. On which day did he ride

the shortest distance
Mathematics
1 answer:
inna [77]3 years ago
6 0
Friday 1.05 mile
Saturday 1.50 mile
Sunday 1.25 mile
Tuesday 1.10 mile.

The smallest of these numbers is 1.05, so on Friday Jonathan rode the least.
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Answer/Step-by-step explanation:

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f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

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Since when we combine functions in composition to make a new function, sometimes we

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What do we end up doing with this function? All we do is plug in various values of x into

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When composing functions we do the same thing but instead of plugging in numbers we are

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Examples

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f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

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When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

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f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

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) + 4 (12)

f(x

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x

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Thus, (f ◦ g)(x) = f(g(x)) = 3x

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g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

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f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

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Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

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Answer:

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as

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