F(x) =x² - 10x, f⁻¹(x) =?
1st find the missing square of x²-10x, ==> (x-5)² - 25
y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5
Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}
Answer:
1. M > -7
2. y < -1
3. m < -12
4. k > -2
5. c > -9
Please let me know if you need me to explain these answers! :)
#3. Plugging the point (3,0) into any of the equations except the third one gives an invalid answer.
ANSWER
X < 9
Solve
2x < - x + 20 + 7
2x < - x + 27 change the signs
2x + x < 27 add the like terms
3x < 27 divide by 3
x < 9
