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3 years ago

Assume that the function f is a one-to-one function.

Mathematics

1 answer:

ruslelena [56]3 years ago

4 0

Answer:

Assuming that the function f is a one-to-one function;

If f(3)=4, then f^-1(4) = 3

If f^-1(-8) = -9, then f(-9) = -8

Step-by-step explanation:

A function in which every value in the domain corresponds to exactly one value in the range is said to be a one-to-one function and it passes both the vertical and the horizontal line tests.

If a point (a,b) belongs to a one-to-one function f, the the point (b,a) belongs to its inverse.

In the first case we had f(3)=4 implying that the point (3,4) belongs to f and thus the point (4,3) will belong to the inverse of f. Thus, f^-1(4) = 3

Similarly, if f^-1(-8) = -9 the point (-8,-9) belongs to the inverse of f. This implies that the point (-9,-8) will belong to f. Thus, f(-9) = -8

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Factor completely y^2-xy-56x^2

olga2289 [7]

You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1

So $y^{2} - xy - 56x^{2}$ factored out is (y+7x)(y-8x)

We can check this using FOIL
F = (y)(y) = $y^{2}$
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) = $-56x^{2}$
$y^{2} - 8xy + 7xy - 56x^{2}$ Combine like terms
$y^{2} - xy - 56x^{2}$

3 0

3 years ago

Read 2 more answers

Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Descr

UkoKoshka [18]

Complete question:

Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.

Answer:

$159.60

Step-by-step explanation:

Given the following :

Sales tax = 5%

Percentage discount = 20%

Original cost = $190

Joel's incorrect expression : 0.95(190)(0.8)

Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.

B.) 20% discount = 0.2 will be deducted from 100%(1)

1 - 0.2 = 0.8

5% sales tax = 0.05 will be added :

1 + 0.05 = 1.05

Original cost = $190

Therefore,

Total cost : Original cost * sales tax * discount

Total cost = $190 * 1.05 * 0.8

Total cost = $159.60

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Jamal starts work in January with a salary of RM 3650 per month.He gives 10% of his salary to his mother.How much money does Jam

kati45 [8]

Answer:

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