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Crank
3 years ago
14

Find the inverse of the function. f(x) = x^3 - 3

Mathematics
2 answers:
11111nata11111 [884]3 years ago
7 0
  1. Answer:
  2. <u>f{(x)} = {x}^{3}  - 3 \\ y =  {x}^{3}  - 3 \\ x =  {y}^{3}  - 3 \\ x + 3 =  {y}^{3}  \\  \sqrt[3]{x + 3}  = y \\  {f(x)}^{ - 1}  =   \sqrt[3]{x + 3}</u>

slavikrds [6]3 years ago
3 0

let,

y = f(x)

y = x^3 - 3

<u>Interchanging</u> <u>x</u><u> </u> <u>and</u><u> </u> <u>y</u><u> </u>,

x = y^3 - 3

x + 3 = y^3

(x + 3)^1/3 = y

◆ f^-1 (x) = (x + 3)^1/3

It is Right Answer...

Thank you♥♥

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You could do this step by step or all in 1 statement. I will do it step by step because that's the way I would teach it.

i1

i1 = 4 * (1/2)^(1 - 1)  Reduce the power

i1 = 4 * (1/2)^0   Change 1/2 to 1

i1 = 4 * 1 =     Multiply                                 4

i2

i2 = 4 * (1/2)^(2- 1)  Same directions as above

i2 = 4*(1/2)^1

i2  = 4*1/2 =                                                2

i3

i3 = 4 * (1/2)^(3 -1) Same directions as above.

i3 = 4 * (1/2)^2

i3 = 4 * 1/4

i3 =                                                             <u>1</u>

Total                                                           7    


6 0
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