Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

Answers

Answer 1

Answer: f(X)=4x+12-5=4x+7
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1

Answer 2

Answer: $f(x)=4(x+3)-5\n y=4(x+3)-5\n y=4x+12-5\n y=4x+7\n 4x=y-7\n x=(1)/(4)y-(7)/(4)\n f^(-1)(x)=(1)/(4)x-(7)/(4)\n f^(-1)(3)=(1)/(4)\cdot3-(7)/(4)\n f^(-1)(3)=(3)/(4)-(7)/(4)\n f^(-1)(3)=-(4)/(4)\n f^(-1)(3)=-1$

Related Questions

Whats the integral of 1/X
Compute the amount of interest earned in the following simple interest problem. A deposit of $5,000 at 8.5% for 120 days = _____. $140.25$1,402.50 $14,025 $51,000
Subtract. Write your answer in simplest form. 4 5/8 - 1 1/8=____
PLEASE HELP I WILL MARK BRAINLIEST
Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?Which math sentence represents the problem?Two-thirds divided by 10 = 20/30=1/1510 divided by two-thirds = 30/2=1510 divided by three-halves = 20/3] 6 and two-thirds1/10 divided by two-thirds = 3/20

What is the product of a subtraction equation called?

Answers

Answer:

The "difference".

Step-by-step explanation:

In the equation 7-5=2, 2 is the "difference" between those numbers. Be careful when calling it a product though, because a product is the result of a multiplication equation!

*Bonus nonsense: The first number (7 here) is called the minuend, the second number (5 here) is called the subtrahend, and yes, I totally looked that bit up.

It is called “the difference”

If f(x)=3/4 and g(x)=3x which statement is true trust me I've tried

Answers

The answer is D.

f(x) = 3/x
g(x) = 3x

(g * f)(-9) = 3(3/-9)
(g * f)(-9) = 3(-1/3)
(g * f)(-9) = -1

Need the values IN FRACTIONS (no mixed numbers or decimals)1. -1/2^1
2. -1/2^2
3. -1/2^3
4. -1/2^4
5. -1/2^5

Answers

$\left(-(1)/(2)\right)^1=-(1)/(2)\n \left(-(1)/(2)\right)^2=(1)/(4)\n \left(-(1)/(2)\right)^3=-(1)/(8)\n \left(-(1)/(2)\right)^4=(1)/(16)\n \left(-(1)/(2)\right)^5=-(1)/(32)\n$

What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle? A. exterior angle
B. adjacent interior angle
C. remote interior angle
D. alternate interior angle

Answers

Answer: C. remote interior angle

Step-by-step explanation:

The angle between a side of a shape and the line extended from the next side is known as exterior angle.
The angles that do not share a vertex (of a triangle) with the exterior angle is known as remote interior angles .
The measure of the exterior angle and the sum of the two remote interior angles are equal.
A pair of two interior angles that share a common side are known as adjacent interior angles.
The pair of angles that are formed on opposite sides of the transversal and inside the two lines are known as alternate interior angles.

Hence, the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is remote interior angle

So , correct option is C. remote interior angle.

The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is the remote interior angle. Getting the values of each sides help you come up with the remote interior and exterior angles.

Help asap I only have 10 minutes!Heidi grew her hair out for many years. Her hair was 1 1/3 of a meter long. She donated her hair by cutting off 5/6of a meter.
How long is Heidi's hair now?