F(x) = 1/2x +4
replace f(x) with y
y = 1/2x+4
switch x and y
x = 1/2y +4
solve for y
multiply both sides by 2
2x = y+8
subtract 8 from both sides
2x-8 = y
rewrite with y on the left side: y = 2x-8
replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8
solve for f^-1(4)
replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0
11 increased by anumber is -12
11+x=-12
subtract 11
x=-11-12
x=-23
the number is -23
Answer:
Step-by-step explanation:
Given
The two vertices of a equilateral triangle are
Suppose the third vertex is
Side length in equilateral triangle are equal.
Similarly,
Subtract (i) and (ii)
Insert the value of in equation (ii)
So, two possible vertex are
2y^3+4y^3 is 6y^3
-7y^2+10y^2 is 3y^2 ***NOTE: 10y^2 is from the 6y^2+4y^2
-7y+3y is -4y
Answer: 6y^3+3y^2-3y