anonymous
  • anonymous
ikykt
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
that is the second time i have seen this ridiculous question where does it come from?
anonymous
  • anonymous
actually the last time i saw it there was another part about composing functions in any case, here is my example \[f(x)=5x+3\] that has two operations: multiplication and addition i am sure you can make up your own
anonymous
  • anonymous
if you want to be fancy you can make a more complicated one, like \[g(x)=x^2+5x+3\] or even \[h(x)=\frac{x-1}{x+2}\] but no one likes fractions

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anonymous
  • anonymous
if you plug one number in, you get one number out for example for \[f(x)=5x+3\] if you plug in 4 for \(x\) you get \[f(4)=5\times 4+3=20+3=23\] and no other number
anonymous
  • anonymous
i am not really sure of what else you can say plug a number in, get a number out
anonymous
  • anonymous
i am willing to bet, that since i just went through the steps of computing \(f(4)\) that you can now do the analogous computation for \(f(3)\) right?
anonymous
  • anonymous
ok that is all you are being asked if you want help with the "english' part i would say take your number, which in this case is 3 multiply it by 5, in this example you get 15, then add 3, which makes 18 that is what you got, right?
anonymous
  • anonymous
ah good thing we picked an easy one: \[f(x)=5x+3\]
anonymous
  • anonymous
this function says "multiply by 5, add 3" the inverse will say "subtract 3, divide by 5" inverse operations in reverse order so it will be \[f^{-1}(x)=\frac{x-3}{5}\] HOWEVER
anonymous
  • anonymous
if you write exactly what i wrote, your teacher will think you cheated (even though it is correct) so instead maybe write " write \(y=5x+3\) then change \(x\) and \(y\) to get \(x=5y+3\) and solve the equation for \(y\) " \[x=5y+3\\x-3=5y\\\frac{x-3}{5}=y\] and \(y\) is the inverse "

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