Answer: f-1(y) = (y-3)/2
Step-by-step explanation:
f(x) = 2x+3, written as a flow diagram:
2x+3
The Inverse Function goes the other way:
Inverse
So the inverse of: 2x+3 is: (y-3)/2
The inverse is usually shown by putting a little "-1" after the function name, like this:
f-1(y)
We say "f inverse of y"
So, the inverse of f(x) = 2x+3 is written:
f-1(y) = (y-3)/2
F(x) = x^2 -2x + 4
f(-2) = (-2)^2 -2(-2) +4
f(-2) = 4 + 4 + 4
f(-2) = 12
12 is your answer
Hope this helps
Step-by-step explanation:
x=1.708333333333
We know: The sum of the measures of the angles of a triangle is equal 180°.
We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.
The equation:
65 + (3x - 10) + 2x = 180
(3x + 2x) + (65 - 10) = 180
5x + 55 = 180 <em>subtract 55 from both sides</em>
5x = 125 <em>divide both sides by 5</em>
x = 25
m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°
m∠C = (2x)° → m∠C = (2 · 25)° = 50°
<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>