Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.
Answer: d) (3, 3)
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's.
Let's look at the points and find their inverse:
f(x) f⁻¹(x)
(0, -2) --> (-2, 0)
(1, -1) --> (-1, 1)
(2, 0) --> (0, 2)
(3, 3) --> (3, 3) f(x) = f⁻¹(x) so this is where they intersect!
(2x+4) +(3x-1) +(x+1)=34
6x+4=34
x=5
AB=14, BC=14, AC=6
Find out how much you filled.
2.92 + 3.14 = 6.06 L
Find the remaining.
8.23 L - 6.06 L = 2.17 L
You need 2.17 L more to fill the water jug
Answer: 60
Step-by-step explanation: Okay, so 4 is approx 22.3 percent of 18, so 22.3 percent of 270 is approx 60. That's how I worked it out, please do tell if I am wrong.