Answer:
f^-1 (x) = x/5
Step-by-step explanation:
f(x) = 5x
Replace f(x) with y
y= 5x
Exchange x and y
x = 5y
Solve for y
Divide each side by 5
x/5 = 5y/5
x/5 = y
The inverse is x/5
Answer: Q"(10,10) , R"(35,10), S"(35,25) , T"(10,25)
Step-by-step explanation:
Given: On the blueprint, 1/4 inch equals 1 foot in the actual house.
Therefore, 1 inch of blue print = 4 feet of room.
The coordinates of the room will be [multiply 4 to the coordinates of rectangle]
Q(2,2)→ Q'(8,8)
R(7,2)→R'(28,8)
S(7,5)→S'(28,20)
and T(2,5) →T'(8,20)
The homeowner wants this room to be 25% larger.
Let x be the dimension of current room. then the dimension of new room= x+25% of x
=x+0.25x=1.25x
So for dilate the room by 25% multiply 1.25 on the coordinates of the enlarged room , we get
Q'(8,8)→Q"(10,10)
R'(28,8)→R"(35,10)
S'(28,20)→S"(35,25)
T'(8,20)→T"(10,25)
Answer:
5x/2
Step-by-step explanation:
Say the mystery number is "x"
5 times that = 5 * x = 5x
Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2