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Alborosie
3 years ago
9

If f(x)=3x+2, find f(f^-1(14))

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0

Answer:


Step-by-step explanation:

14

krek1111 [17]3 years ago
6 0
F(x) = 3x + 2x = 3f-1(x) + 2x - 2 = 3f-1(x)(x - 2)/3 = f-1(x)(14 - 2)/3 = f-1(14)12/3 = f-1(14)4 = f-1(14)   f(f-1(14)) = f(4)f(4) = 3(4) + 2f(4) = 12 + 2f(4) = 14 A function and its inverse are inverse operations, like addition and subtraction. They undo each other. f(f-1(x) = x 
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Step-by-step explanation:

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Step-by-step explanation:

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(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost
xeze [42]

Answer:

f(x)= $70 - $1.5*x

Step-by-step explanation:

You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:

$5 + $15= $20

Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:

$1.5*x

So the money spent after x rides can be expressed as:

$20 + $1.5*x

Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:

$90 - ($20 + $1.5*x)

$90 -$20 -$1.5*x

$70 - $1.5*x

By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:

<u><em>f(x)= $70 - $1.5*x</em></u>

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