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anonymous
 one year ago
Will METAL!!
Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven.  9
f1(x) = 21(x + 9)
f1(x) = [7(x + 9)]3
f1(x) = 7(x3 + 9)
f1(x) = 7(x + 9)3
anonymous
 one year ago
Will METAL!! Find the inverse of the function. f(x) = the cube root of quantity x divided by seven.  9 f1(x) = 21(x + 9) f1(x) = [7(x + 9)]3 f1(x) = 7(x3 + 9) f1(x) = 7(x + 9)3

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443800798823:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1f(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
 one year ago
Best ResponseYou've already chosen the best response.0isolate the cube root and cube both sides of the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how would I do that @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1`switch x and y` replace x with y and y with x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443801089795:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1looks good now first move 9 to the left and then take cube both sides to cancel out the cube root

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x + 9 dw:1443801233219:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\color{#0cbb34}{\text{Originally Posted by}}\) @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
 one year ago
Best ResponseYou've already chosen the best response.1take 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
 one year ago
Best ResponseYou've already chosen the best response.1cube not cube root to cancel out the cube then we should take cube root

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1look at the example above^

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443801529555:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right but we should take cube `both ` sides dw:1443801794531:dw what would be the next step ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1to get rid of the fraction at right side what would you do ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Idk would you move y to the other side.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1we need y itself at right side so move 7 to the left side

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443802394930:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1is that a negative sign ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443802476561:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1to cancel out the 7 at right side we should multiply both sides by 7dw:1443802496552:dw that's how it's 7 times (x+9)^3

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1it's (x+9)^3 like i said we should take cube `both sides `

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Describe 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
 one year ago
Best ResponseYou've already chosen the best response.0Do you have a graphing calculator? @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1f(xh)= 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)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So would it be answer choice the last one then right?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1you don't need calculator for this question .

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0y = (x  14)2  9 because 9 is and (x14)^2 is negative as well.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no h =14 so read what i said above

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok so it's our third option.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1right if h is negative then shift right if it's positive then left shift
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