Let y = f(x)
Let cr = cube root for short
y = cr{3x} + 2
Switch x and y.
x = cr{3y} + 2
Solve for y.
x - 2 = cr{3y}
Raise both sides to the 3rd power.
(x - 2)^3 = [cr{3y}]^3
(x - 2)^3 = 3y
[(x - 2)^3]/3 = y
Replace y with the inverse function notation
f^(-1) x.
f^(-1) x = [(x - 2)^3]/3
Choice b is the answer.
Answer:
a)
Step-by-step explanation:
Square root of 75 (√75) is regarded as a surd function because the value inside the square root sign is not a perfect square. In that case the given value will be splitted into the product of a largest perfect square and a prime number as shown:
√75 = √3×25
√75 = √3×√25
√75 = √3 × 5
√75 = 5√3
a) Based on the above calculation, it can be inferred that his reasoning is incorrect. The value of 3 was supposed to be inside a square root not a whole number i.e √3 × √25
b) Since √75 = 5√3
√75 = 5 × 1.7321
√75 = 8.6605
√75 = 8.661 {to nearest thousand}
Answer:
20 feet
Step-by-step explanation:
7/1.4=5
5*4=20
You’re two points will be (-0.75, 0) and (0, -3)