3 years ago

Find the percent of increase or decrease 55 mph to 70 mph

Mathematics

1 answer:

bearhunter [10]3 years ago

5 0

Answer:

27.3% rounded

Step-by-step explanation:

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The Identity function i behaves just like the number 1. That is (F o i)=f and (i o g)= g

andrezito [222]

I'll denote the identity function by $\mathrm{Id}$ . Then for any functions $f$ with inverse $f^{-1}$ ,

$\begin{cases}f\circ\mathrm{Id}=f\\\mathrm{Id}\circ f=f\\f\circ f^{-1}=\mathrm{Id}\end{cases}$

One important fact is that composition is associative, meaning for functions $f,g,h$ , we have

$(f\circ g)\circ h=f\circ(g\circ h)$

So given

$h=f\circ g$

we can compose the functions on either side with $g^{-1}$ :

$h\circ g^{-1}=(f\circ g)\circ g^{-1}=f\circ(g\circ g^{-1})$

then apply the rules listed above:

$h\circ g^{-1}=f\circ\mathrm{Id}=f$

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2 years ago

Which integer is √59 closer to

valentinak56 [21]

It is close to 8. When you look for the square root of 59 you should get about 7.6811457... Round up and thats 8 round down that 7 but it should be 8.

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2 years ago

Read 2 more answers

Find dy/dx if y= (1+x)e^x^2

nasty-shy [4]

$y=(1+x)e^{x^2}\\
y'=(1+x)'\cdot e^{x^2}+(1+x)\cdot(e^{x^2})'\\
y'=1\cdot e^{x^2}+(1+x)\cdot e^{x^2}\cdot (x^2)'\\
y'=e^{x^2}+(1+x)e^{x^2}\cdot2x\\
y'=e^{x^2}(1+(1+x)\cdot2x)\\
y'=e^{x^2}(1+2x+2x^2)\\
y'=e^{x^2}(2x^2+2x+1)\\$