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Mathematics

1 answer:

forsale [732]3 years ago

3 0

Answer: see attachments

<u>Step-by-step explanation:</u>

Slope-Intercept format is: y = mx + b

↓ ↓

↓ Intercept (where it crosses the y-axis)

Slope (rise over run)

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If f(x) = x + 4 and g(x)=x^2-1, what is m(g o f)(x)?

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Until now, given a function f(x), you would plug a number or another variable in for x. You could even get fancy and plug in an entire expression for x. For example, given f(x) = 2x + 3, you could find f(y2 – 1) by plugging y2 – 1 in for x to get f(y2 – 1) = 2(y2 – 1) + 3 = 2y2 – 2 + 3 = 2y2 + 1.

In function composition, you're plugging entire functions in for the x. In other words, you're always getting "fancy". But let's start simple. Instead of dealing with functions as formulas, let's deal with functions as sets of (x, y) points:

Let f = {(–2, 3), (–1, 1), (0, 0), (1, –1), (2, –3)} and

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(i) This type of exercise is meant to emphasize that the (x, y) points are really (x, f (x)) points. To find f (1), I need to find the (x, y) point in the set of (x, f (x)) points that has a first coordinate of x = 1. Then f (1) is the y-value of that point. In this case, the point with x = 1 is (1, –1), so:

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A computer tech charges a $30 initial fee to come and fix a household computer plus $15 per hour. Which of the following linear

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Answer

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Step-by-step explanation:

if you only needs to be there for one hour it is for 45

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