Well, you want to find the value of x.
Answer:
C. f⁻¹(x) = 3 - 5x
Step-by-step explanation:
To find the inverse of a function, switch x and y and solve for y.
f(x) = (3 - x)/5
Change f(x) to y.
y = (3 - x)/5
Switch x and y.
x = (3 - y)/5
Multiply both sides by 5.
5x = 3 - y
Subtract 3 from both sides.
5x - 3 = -y
Multiply both sides by -1.
-5x + 3 = y
Switch the sides.
y = -5x + 3
Change the equation.
y = 3 - 5x
Answer:
The graph is a horizontal shift of the function two units to the left.
Step-by-step explanation:
The graph is a horizontal shift of the function two units to the left.
Remember that horizontal shifts appear as additions of a constant "c" to the x-coordinate inside the function. When the constant is negative the shift is to the right in |c| units, and when the constant is positive (like in this case) the shift is to the left in |c| units.
Answer:
189108
Step-by-step explanation:
6*103*3*102=189108
Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
