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3 years ago

Plzz helpp Find the inverse function

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

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$f(x) = {x}^{2} + 5$

$y = {x}^{2} + 5$

${x}^{2} + 5 = y$

Subtract sides 5

${x}^{2} + 5 - 5 = y - 5$

${x}^{2} = y - 5$

$x = ± \sqrt{y - 5}$

$x≠ - \sqrt{y - 5}$

Because x is a positive number but -√y-5 is a negative number thus it's unacceptable.

So ;

$x = \sqrt{y - 5}$

_________________________________

${f}^{ - 1}(x) = \sqrt{x - 5}$

Done...

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Pleaseee help me solve this

lapo4ka [179]

Answer:

f(x)=x² +3x-x/2

f(6)=(6)²+3(6)-6/2

= 36 + 18 -3

=51

8 0

3 years ago

Read 2 more answers

Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24

Zanzabum

We want to find a polynomial

f(x) = a x³ + b x² + c x + d

such that the roots of f are x = -3, x = -1, and x = 4, and f(x) takes on a value of -24 when x = -2.

The factor theorem for polynomials tells us that we can factorize f(x) as

a x³ + b x² + c x + d = a (x + 3) (x + 1) (x - 4)

Expand the right side:

(x + 3) (x + 1) (x - 4) = x³ - 13x - 12

So we have

a x³ + b x² + c x + d = a x³ - 13a x - 12a

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

a = a (of course)

b = 0 (there is no x² term on the right)

c = -13a

d = -12a

We also have that f (-2) = -24, which means

f (-2) = a (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6a

a = -4

which in turn tells us that c = 52 and d = 48.

So we found

f(x) = -4x³ + 52x + 48

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3 years ago

How are the solutions to the following two equations related m+5=72 m+72=5

EastWind [94]

To see how they are related, let us solve the two equations.

FIRST EQUATION

$m + 5 = 72$

$\rightarrow \: m = 72 - 5$

$\rightarrow \: m = 67$

SECOND EQUATION

$m + 72 = 5$

$\rightarrow \: m = 5 - 72$

$\rightarrow \: m = - 67$

Hence the solutions to the two equations are ADDITIVE INVERSE of each other.

6 0

4 years ago

Two spinners are spun. One has 5 sections labeled Red, Orange, Purple, Yellow, and Green. The other has three sections labeled 1

quester [9]

Answer:

$S = 15$ possible outcomes

Step-by-step explanation:

For any experiment, the sample space of this experiment is the set of all the possible results of the experiment.

In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is $S_1 = 5$