anonymous
  • anonymous
Will METAL!! Find the inverse of the function. f(x) = the cube root of quantity x divided by seven. - 9 f-1(x) = 21(x + 9) f-1(x) = [7(x + 9)]3 f-1(x) = 7(x3 + 9) f-1(x) = 7(x + 9)3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1443800798823:dw|
Nnesha
  • Nnesha
f(x) is same as y so first replace f(x) with y \[\huge\rm \color{ReD}{y}=\sqrt[3]{\frac{\color{blue}{ x} }{ 7} } -9\] to find inverse `switch x and y` then solve for y
welshfella
  • welshfella
isolate the cube root and cube both sides of the equation

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More answers

anonymous
  • anonymous
so how would I do that @Nnesha
Nnesha
  • Nnesha
`switch x and y` replace x with y and y with x
anonymous
  • anonymous
|dw:1443801089795:dw|
Nnesha
  • Nnesha
looks good now first move -9 to the left and then take cube both sides to cancel out the cube root
anonymous
  • anonymous
x + 9 |dw:1443801233219:dw|
Jhannybean
  • Jhannybean
\[\checkmark\]
anonymous
  • anonymous
what do I do know?
Jhannybean
  • Jhannybean
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Nnesha looks good now first move -9 to the left and then `take cube both sides to cancel out the cube root` \(\color{#0cbb34}{\text{End of Quote}}\)
Nnesha
  • Nnesha
take cube both sides to cancel out the cube root just like we take square to cancel out the square root \[\large\rm \sqrt[4]{x} = (\sqrt[4]{x})^4 = (x^\frac{ 1 }{ \cancel{4} })^\cancel{4}=x\]example
Nnesha
  • Nnesha
cube not cube root to cancel out the cube then we should take cube root
Nnesha
  • Nnesha
look at the example above^
anonymous
  • anonymous
|dw:1443801529555:dw|
Nnesha
  • Nnesha
yes right but we should take cube `both ` sides |dw:1443801794531:dw| what would be the next step ?
anonymous
  • anonymous
would it be x+3
Nnesha
  • Nnesha
to get rid of the fraction at right side what would you do ?
Nnesha
  • Nnesha
x+3 ?
anonymous
  • anonymous
Idk would you move y to the other side.
Nnesha
  • Nnesha
we need y itself at right side so move 7 to the left side
Nnesha
  • Nnesha
7**
anonymous
  • anonymous
|dw:1443802394930:dw|
Nnesha
  • Nnesha
-7 ??
Nnesha
  • Nnesha
is that a negative sign ?
anonymous
  • anonymous
|dw:1443802476561:dw|
Nnesha
  • Nnesha
to cancel out the 7 at right side we should multiply both sides by 7|dw:1443802496552:dw| that's how it's 7 times (x+9)^3
Nnesha
  • Nnesha
it's (x+9)^3 like i said we should take cube `both sides `
anonymous
  • anonymous
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = (x - 14)2 - 9 Shift the graph of y = x2 right 14 units and then up 9 units. Shift the graph of y = x2 down 14 units and then left 9 units. Shift the graph of y = x2 right 14 units and then down 9 units. Shift the graph of y = x2 left 14 units and then down 9 units.
anonymous
  • anonymous
Do you have a graphing calculator? @Nnesha
Nnesha
  • Nnesha
f(x-h)= horizontal shift ( if h is negative shift some units to the right , if h is positive shift h units to the left ) f(x) + k =vertical shift ( positive k shift up , if k is negative shift k units down)
Nnesha
  • Nnesha
yes
anonymous
  • anonymous
So would it be answer choice the last one then right?
Nnesha
  • Nnesha
you don't need calculator for this question .
anonymous
  • anonymous
y = (x - 14)2 - 9 because -9 is and (x-14)^2 is negative as well.
anonymous
  • anonymous
*negative
Nnesha
  • Nnesha
no h =-14 so read what i said above
anonymous
  • anonymous
oh ok so it's our third option.
Nnesha
  • Nnesha
right if h is negative then shift right if it's positive then left shift

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