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Lemur [1.5K]
3 years ago
15

Find the inverse of the function f f (x ) equals 9 x + 7

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

<em>Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.</em>

<em>Thus, I am solving based on it. It would still clear your concept. </em>

Answer:

The inverse of f(x)=9x+7

  • \frac{x-7}{9}

Step-by-step explanation:

Given the function

f(x)=9 x + 7

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

x=9y+7

solve for y

9y=x-7

y=\:\frac{x-7}{9}

Therefore,

The inverse of f(x)=9x+7 is:

  • \frac{x-7}{9}

i.e.

\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}

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A father's age is three less than two times the son's age. The difference in their ages is 30 years. Find the son's age.
kkurt [141]

You can set up a systems of equations to solve this problem.

The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.

The equation 30=y-x represents the difference between the two ages.

In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).

Lets put the equation y=2x-3 into standard form.

y=2x-3

+3 +3

y+3=2x

-y -y

3=2x-y

We have the two equations 30=y-x and 3=2x-y

Now to solve the system.

30=y-x

3=2x-y or 3=-y+2x

30=y-x

3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.

Your left with

30=-x Now you just combine the two equations. 30+3 and 2x-x

3=2x

33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.

SON'S AGE IS 33

6 0
3 years ago
Why is there an AA similarity postulate but not an AA congruence postulate
bagirrra123 [75]

Answer:

Step-by-step explanation:

4 0
3 years ago
PLEASE ANSWER ASAP !!!
alekssr [168]
Slope is 3

Explanation
3 0
3 years ago
Read 2 more answers
A dilation has center (0, 0). Find the image of each point for the given scale factor.
pshichka [43]

Answer:

A. (−3,5)

Step-by-step explanation:

The rule for dilation by scale factor k is given by:

(x,y)\to (kx,ky)

The given point is P(-3,5) and the scale factor is k=1

We substitute the point and the scale factor into the rule to get:

P(-3,5)\to P'(-3\times1,5\times1)

This gives us:

P(-3,5)\to P'(-3,5)

The correct answer is A

3 0
3 years ago
The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock
FinnZ [79.3K]

Answer:

  1. $855,000
  2. Dividend per share of common stock = $1.06

Step-by-step explanation:

1. Preferred Share dividends.

There are 300,000 preference shares and each of them got $2.85. Total dividends are;

= 300,000 * 2.85

= $855,000‬

2. Total dividends = $3,500,000

Dividends left for Common Shareholders (preference gets paid first)

= 3,500,000 - 855,000

= $2,645,000

Common shares number 2,500,000

Dividend per share of common stock = \frac{2,645,000}{2,500,000}

= $1.06

7 0
3 years ago
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