If f(x)=log2(x+4), what is f^-1(3)?

Answers

Answer 1

Answer: $f\left( x \right) =\log _( 2 ){ \left( x+4 \right) } \n \n \log _( 2 ){ \left( x+4 \right) } =y\n \n { 2 }^( y )=x+4$

$\n \n x={ 2 }^( y )-4\n \n \therefore \quad { f }^( -1 )\left( x \right) ={ 2 }^( x )-4\n \n \therefore \quad { f }^( -1 )\left( 3 \right) ={ 2 }^( 3 )-4=4$

Answer 2

Answer:

The value of f^-1(3) is 4

What are inverse functions?

The inverse of a function f(x) is the opposite of the function

How to determine the inverse function?

The functionf(x)is given as:

$f(x) = log_2(x + 4)$

Express f(x) as y

$y = log_2(x + 4)$

Swap the positionsof x and y

$x = log_2(y + 4)$

Express as exponents

$2^x = y + 4$

Make y the subject

$y = 2^x - 4$

Express the equationsas an inverse function

$f^(-1)(x) = 2^x - 4$

Substitute 3 for x in the above equation

$f^(-1)(3) = 2^3 - 4$

Evaluate

$f^(-1)(3) = 4$

Hence, the value of f^-1(3) is 4

Read more about inverse functions at:

brainly.com/question/14391067

#SPJ5

Related Questions

Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased his mile time by 25%. What is his mile time now?
If r and s can be any integers such that s > 10 and 2r + s = 15, which of the following is the solution set for r ?
Screen shot for math
Pizzas are $10 each plus a $2 delivery fee. Is the cost , proportional to the number of pizzas ordered?
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. !e sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?

The scientific notation 3.14 x 10 -3 has what value? 0.000314
0.00314
0.0314
0.314

Answers

3.14 x 10⁻³ has the value 0.00314

The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.

The negative sign of the exponent means that the decimal has to move to the right.

From 0.00314, decimal move to the right 0003.14

If the decimal is positive, it means that the decimal point moved to the left of the number.

3.14 x 10³ in expanded form is 3140

From 3140. decimal move to the left 3.140

Use the information to answer the question.A store is having a sale on hats. The sale is buy one hat get one 50% off. The original price of one hat is $24.98. Alex bought several hats, and the
total cost was $187.35.

Answers

Answer:

10 hats

Step-by-step explanation:

Original price

$24.98

Sale price

$24.98*1.5 = $37.47 for two hats

Total cost

$187.35

Hats sold:

187.35/37.47 *2 = 10 hats

What are two different decimals that when rounded to the nearest thousandth would give 5.24 as an answer

Answers

Answer: 5.2387 and 5.2437

Step-by-step explanation:

Express 4x^2-25 as a product of two binomials.

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 4x²-25 as a product of two binomials can be written as (2x - 5)(2x + 5).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 4x² - 25 as a product of two binomials can be written as,

4x² - 25

Rewriting the expression,

= (2x)² - (5)²

Using the algebraic property, a²-b²=(a+b)(a-b),

= (2x - 5)(2x + 5)

Hence, the expression 4x²-25 as a product of two binomials can be written as (2x - 5)(2x + 5).

Learn more about Expression here:

brainly.com/question/13947055

#SPJ2

4x^2-25= (2x)^2-5^2=(2x-5)(2x+5)

Used: a^2-b^2=(a+b)(a-b)

Please help will give medal!!!!When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

Answers

If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
a / sin A = b / sin B = c / sin C

What is 7d+12-4d-3=? and how do i figure it out ive been stuck for 4 hours on it help?

Answers

We must simplify the expression. Simplify the like terms. 7d-4d=3d and 12-3=9. Put them together. Our answer is 3d+9.

Simplify them like terms 7d-4d=3d and 12-3=9 put them together then the answer is 3d+9

Other Questions

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. -4(x - 3)2 - 29; The maximum height of the water is 3 feet. -4(x - 3)2 - 29; The maximum height of the water is 29feet. -4(x - 3)2 + 7; The maximum height of the water is 7 feet. -4(x - 3)2 + 7; The maximum height of the water is 3 feet.

Find x, y, and zx = 39x = 29y = 61y = 29z = 61z = 29

Solve the equation and chech -8x+11=11

)The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown, cut by a transversal. Angle 1 is located in the upper right exterior corner on the top line, and angle 2 is located in the upper right corner of the bottom line. Which statement is true about ∠1 and ∠2? 1 and 2 are complementary because they are a pair of corresponding angles 1 and 2 are congruent because they are a pair of corresponding angles 1 and 2 are complementary because they are a pair of alternate interior angles 1 and 2 are congruent because they are a pair of alternate interior angles