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Pachacha [2.7K]

3 years ago

8

Find the inverse of the Function

0-4" id="TexFormula1" title="f(x)=\sqrt[3]{\frac{x}{9} } -4" alt="f(x)=\sqrt[3]{\frac{x}{9} } -4" align="absmiddle" class="latex-formula">

1 answer:

scoray [572]3 years ago

6 0

9514 1404 393

Answer:

D

Step-by-step explanation:

Solve x = f(y) for y.

x = ∛(y/9) -4

x +4 = ∛(y/9) . . . . . add 4

(x +4)³ = y/9 .. . . . . cube

9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

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Can someone answer this please

Rufina [12.5K]

Answer:

0 hours = $40

1 hours = $75

2 hours =$110

3 hours =$145

4 hours =$180

5 hours =$215

Step-by-step explanation:

C=Cost in dollars,

n=hours.

Calculating Cost for 0 hours

$C=35n+40$

$C=(35\times 0)+40$

$C=0+40$

$C=40$

Cost for 0 hours=$40

Calculating Cost for 1 hours

$C=35n+40$

$C=(35\times 1)+40$

$C=35+40$

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Cost for 1 hours=$75

Calculating Cost for 2 hours

$C=35n+40$

$C=(35\times 2)+40$

$C=70+40$

$C=110$

Cost for 2 hours=$110

Calculating Cost for 3 hours

$C=35n+40$

$C=(35\times 3)+40$

$C=105+40$

$C=145$

Cost for 3 hours=$145

Calculating Cost for 4 hours

$C=35n+40$

$C=(35\times 4)+40$

$C=140+40$

$C=180$

Cost for 4 hours=$180

Calculating Cost for 5 hours

$C=35n+40$

$C=(35\times 5)+40$

$C=175+40$

$C=215$

Cost for 5 hours=$215

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3 years ago