Answer:
f(x)=-3x+14
Step-by-step explanation:
y +1=-3(x–5)
y +1=-3x+15
y= -3x+15-1
f(x) = -3x + 14
- f-¹(x) = 69/5y
- f-¹(x) = 13 + 4y/(y + 10)
<h3>How to determine the inverse </h3>
The steps involved in determining the inverse of a function are;
- Replace f(x) with y in the equation describing the function
- Interchange x and y
- Solve for y
- Replace y by f-1(x)
If f(x) = 4/5x + 13
y = 4/5y + 13
y = 4 + 65 /5y
f^-1 = 4 + 65 /5y
f^-1(x)= 69/5y
If f(x)= 3/x+10 + 4
y = 3/y + 10 + 4
y = 3 + 4y + 10/(y + 10)
y = 13 + 4y/(y + 10)
f^-1(x) = 13 + 4y/(y + 10)
Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)
Learn more about functions here:
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Answer:
distributive property
Step-by-step explanation:
we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction: x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:
we have: 4(x-6)
we apply the distributive property, so we have
4(x-6)=4*x-4*6
4(x-6)=4x-24
Y=1x -1
this is because you only change the z intercept when lines are parallel
Answer:
182.82812
Step-by-step explanation: