All categories

3 years ago

What is the inverse of the function f(x) = 2x– 12?

Mathematics

1 answer:

AleksandrR [38]3 years ago

6 0

Answer:

Step-by-step explanation

For the time, call f(x) = y

Interchange x and y

y = 2x - 12

x = 2y - 12

Add 12 to both sides

x + 12 = 2y

Divide both sides by 2

x/2 + 12/2 = y

x/2 + 6 = y

x/2 + 6 = h(x)

Nothing I'm getting looks like what you've given us. Perhaps this is a different question?

You might be interested in

How to find an equivalent fraction of 36/48 with numerator 9

Kobotan [32]

Answer:

9/12

Step-by-step explanation:

You have to divide 36 by 4 to get 9 and then divide 48 by 4 and you will get 12.

6 0

2 years ago

Read 2 more answers

Evgesh-ka [11]

The answer will end up being c

6 0

3 years ago

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

I love !!!!!!!!!!!!!!!!

Phantasy [73]

Answer:

tym

Step-by-step explanation:

Brave

<h3>Name :Vikrant. Meaning :Powerful, Warrior, Brave, Victorious.</h3>

7 0

2 years ago

Someone?! answer please

Sonbull [250]

The answer is "$94."

If all 6 friends spent $420 on kayaks, and $144 on food, then they spent $564 in total. Divide $564 by 6 people to see how much each person payed.

420+144=564
564÷6=94

8 0

3 years ago

Read 2 more answers