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3 years ago

Inverse of f(x) = 3 + 2 In x?

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

This is the inverse of f(x)= -3 - (-2)

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The graphs of f(x) and g(x) are shown below:

rosijanka [135]

<h2>Answer:</h2>

Option: C is the correct answer.

C.) x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

$f(x)=x^2-x-12$

and the function g(x) is given by:

$g(x)=-1.8x-0.6$

Now, we are asked to find the solution of the equation:

$f(x)=g(x)$

i.e. we have to find the value of x such that both the functions are equal i.e.

$x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0$

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

$ax^2+bx+c=0$

is given by:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

$a=5,\ b=4\ and\ c=-57$

Hence, the solution is given by:

$x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3$

6 0

3 years ago

1 2 points Krissa works as a cashier in an office supply store. The graph shows the ratio amount earned: time worked. 1 60 Amoun

bija089 [108]

Answer:

the answer is 56.00 dollars

Step-by-step explanation:

I did this

8 0

2 years ago

A recent survey indicated that 405 out of 500

Sidana [21]

Answer:

The answer is: 81%

Step-by-step explanation:

Divide 405 by 500 and multiply result by 100 to get percent.

405 / 500 = 0.81

0.81 x 100 = 81%

Hope this Helps!! Have an Awesome Day!!

5 0

3 years ago

Read 2 more answers

Why does 498 * 8.32 equal 4 1/4 3.36

Svetradugi [14.3K]

Answer:

The answer is 4143. 36 but I don't know why there are fractions

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please help me i will give you a brainlist thingy thanksss

Pepsi [2]

I could not see the first question so i couldn't answer.

2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)

3) Just add the two angles.

x =13+19

x= 32° (Answer)

4) We must know the other angle value in order to find x. So considering both the angles are equal,

2x = 44

x= 22° (Answer)

5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°

6) Supplementary angles total 180°

Complementary angles total 90°

7)Opposite angles is equal when two straight lines intersect. So,

14x - 16 = 12x + 22

14x-12x=22+16

2x= 38

x= 19° (Answer)

8) Corresponding angles

9) 140°

3 0

2 years ago