I am genuinely so confused please help

If F(x) = log 4 3x, find F -1(x). A.4^y=3x B.4^x=3y C.4^3y=x

lara31 [8.8K]

Answer:

${f}^{ - 1} (x) = \frac{{4}^{x} }{3}$

Step-by-step explanation:

The given logarithmic function is

$f(x) = log_{4}(3x)$

Let y=f(x)

This gives us:

$y = log_{4}(3x)$

We interchange x and y to get:

$x = log_{4}(3y)$

${4}^{x} = 3y$

$y = \frac{{4}^{x} }{3}$

Therefore the inverse is

${f}^{ - 1} (x) = \frac{{4}^{x} }{3}$

Based on the possible answers, B is most closed to the inverse.

The correct answer is B

5 0

3 years ago

Convert to the unit in brackets

IRINA_888 [86]

Step-by-step explanation:

4 ton in kg =4×1000=4000kg

5 kg in ton = 5×1000=5000kg

6=kg =6×1000=6000kg

7mm in cm = 7×10=7 cm

6 0

2 years ago

What is the length of cd?

Pie

Answer:

a length of a cd is 6 inches

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the value of the expression (33 +53) ? 42 Answer: Submit Answer

Sati [7]

Answer:

5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I need a little bit of help

igomit [66]

The symbols make it hard to solve, but it's still doable.

m = melon

c = coconut

f = flamingo

s = shirt

m - c + 1 = 4

f + f = c

m + s = 15 - 3

8 - m = m

Using the last equation, we can solve for a value of m.

Add m to both sides.

8 = 2m

Divide both sides by 2.

m = 4

The value of m is 4, and so we have one variable done.

m + s = 15 - 3

Replace value of m with 4.

4 + s = 15 - 3

Simplify right side.

4 + s = 12

Subtract 4 from both sides.

s = 8

The value of s is 8, and so we have two variables done.

m - c + 1 = 4

Replace value of m.

4 - c + 1 = 4

Combine like terms.

5 - c = 4

Subtract 5 from both sides.

-c = -1

Multiply all terms by -1.

c = 1

The value of c = 1.

We can now solve the final equation.

f + f = c

Replace value of c.

f + f = 1

Combine like terms.

2f = 1

Divide both sides by 2.

f = 0.5

We have all four variables solved for.

<h3>M, or melon, is equal to 4.</h3><h3>S, or shirt, is equal to 8.</h3><h3>C, or coconut, is equal to 1.</h3><h3>F, or flamingo, is equal to 0.5</h3>

4 0

3 years ago