f(g(x)) means to plug the value of g(x) into every x you see in f(x) and do the math.
g(x) = 3x
f(3x) = 2(3x) - 1
f(3x) = 6x - 1
So, f(g(x)) = 6x - 1.
Understand?
h(f(x)) means to plug the value of f(x) into every x you see in h(x) and do the math.
h(x) = x^2 + 1
h(2x - 1) = (2x - 1)^2 + 1
h(2x - 1) = (2x - 1)(2x - 1) + 1
h(2x - 1) = 4x^2 - 4x + 1 + 1
h(2x - 1) = 4x^2 - 4x + 2
So, h(f(x)) = 4x^2 - 4x + 2
Understand?
This is called COMPOSITION OF FUNCTIONS.
Answer:
960
Step-by-step explanation:
50+30= 80
80x12=960
Answer:
Thank you sir
Step-by-step explanation:
ellipse with dashed line boundary
(1,-2)
(-2,0)
1) 1ml % 6 marbles = about 0.17ml so the volume per marble is 0.17ml 2) 10-(0.17x4) = 9.32 so that is the original volume 3) then 9.32 + (0.17 x 13) = 11.53ml 4) it is linear because for every marble placed inside the cylinder the volume increases by about 0.17ml the slope means amount of marbles placed vs. volume in cylinder
Recall 1πrad = 180°
1 rad = 180/π
so
5π/6 rad = 180/π × 5π /6 = 5×30 = 150.00° (to 2Dp)