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Nostrana [21]
2 years ago
14

For the function f (x) = 3 (x + 7), find -1().

Mathematics
1 answer:
AlekseyPX2 years ago
5 0

Given:

The function is f(x)=3(x+7)^{\frac{1}{4}}.

To find:

The function f^{-1}(x).

Solution:

We have,

f(x)=3(x+7)^{\frac{1}{4}}

Substitute f(x)=y.

y=3(x+7)^{\frac{1}{4}}

Interchange x and y.

x=3(y+7)^{\frac{1}{4}}

Divide both sides by 3.

\dfrac{x}{3}=(y+7)^{\frac{1}{4}}

Taking power 4 on both sides.

\left(\dfrac{x}{3}\right)^4=y+7

Subtract 7 from both sides.

\left(\dfrac{x}{3}\right)^4-7=y

y=\left(\dfrac{x}{3}\right)^4-7

Substitute y=f^{-1}(x).

f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7

Therefore, the correct option is C.

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replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

<u>M</u><u>e</u><u>t</u><u>h</u><u>o</u><u>d</u><u> </u><u>2</u><u> </u><u>:</u>

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

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y = 4(1) - 1

y = 3

correct

4 0
2 years ago
Read 2 more answers
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Natali [406]

Answer:

k = -3636

Step-by-step explanation:

you subtract 425 from both sides, it cancels out on the left and adds more to the right

6 0
3 years ago
a carpenter cuts of from a plank 5/12 of its length and then 6/7 of what remains.Of the remaining piece is 2/1/2 m long.find the
stealth61 [152]
Cut 5/12 of his lenght

remain 7/12 of his lenght
 
7/12*L - 6/7 *7/12*L=2 1/2 m
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⇒L=2 1/2 m *12=5/2*12=30 m

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5 0
2 years ago
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fenix001 [56]

Answer:

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Step-by-step explanation:

To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.

I graphed the function, provided down below.

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6 0
2 years ago
Could someone answer this
Ksenya-84 [330]

Answer:

y=-8

x=-7

Step-by-step explanation:

x-2y=9         x=2y+9

3x-5y=19

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8 0
3 years ago
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