Use the function rule to complete the table -10x + y= 4

Answers

Answer 1

Answer: make in terms of y for easy
add 10x to both sides
y=10x+4
input values for x and get values for y
x=1,y=14

x,y
-3,-26
-2,-16
-1,-6
0,4
1,14
2,24
3,34

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Answers

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What is the inverse of the function below? f(x)= x/4 -2

Answers

The inverse of function f(x) = x/4 - 2 is:

f^(-1)(x) = 4(x + 2).

Option C is the correct answer.

We have,

To find the inverse of the function f(x) = x/4 - 2, we can follow these steps:

Step 1: Replace f(x) with y: y = x/4 - 2.

Step 2: Swap the variables x and y: x = y/4 - 2.

Step 3: Solve the equation for y.

Let's start by isolating y:

x = y/4 - 2

x + 2 = y/4 (Adding 2 to both sides)

4(x + 2) = y (Multiplying both sides by 4)

So, the inversefunction is y = 4(x + 2).

However, it's common to write the inversefunction with the variable x instead of y.

Therefore,

The inverse of function f(x) = x/4 - 2 is:

f^(-1)(x) = 4(x + 2).

Learn more about functions here:

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$f(x)=(x)/(4)-2\to y=(x)/(4)-2\n\n\text{Interchange the y and the x}\n\nx=(y)/(4)-2\n\n\text{Solve for y}\n\n(y)/(4)-2=x\qquad|+2\n\n(y)/(4)=x+2\qquad|\cdot4\n\ny=4(x+2)$