Answer:
61°
Step-by-step explanation:
, QO Bisector
, Algebra
, Algebra/Sub
Buying books, your dorm and maybe a ride to get to school
Answer:
Step-by-step explanation:
Given that there are two functions f and g as
![f(x) = \sqrt{x} \\g(x) =4x+9](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx%7D%20%5C%5Cg%28x%29%20%3D4x%2B9)
We have to find the composition of functions.
Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.
a)![fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}](https://tex.z-dn.net/?f=fog%3D%20f%7Bg%28x%29%7D%20%3Df%284x%2B9%29%20%3D%20%5Csqrt%7B4x%2B9%7D)
b) ![gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9](https://tex.z-dn.net/?f=gof%20%3D%20g%7Bf%28x%29%7D%20%3D%20g%28%5Csqrt%7Bx%7D%20%29%3D4%5Csqrt%7Bx%7D%20%2B9)
c) ![fof = f(\sqrt{x} ) = \sqrt[4]{x}](https://tex.z-dn.net/?f=fof%20%3D%20f%28%5Csqrt%7Bx%7D%20%29%20%3D%20%5Csqrt%5B4%5D%7Bx%7D)
d) ![gog = g(4x+9) = 4(4x+9)+9\\= 16x+45](https://tex.z-dn.net/?f=gog%20%3D%20g%284x%2B9%29%20%3D%204%284x%2B9%29%2B9%5C%5C%3D%2016x%2B45)
Answer:
2) 4/5
3) 3
Step-by-step explanation:
2) 4/8-3=4/5
3)5x-4=3x+2
2x=6
x=3
Answer:
To find the x-intercepts we can write:
0 = -1/2(x + 3)² + 4
0 = -1/2(x² + 6x + 9) + 4
0 = -1/2x² - 3x - 9/2 + 4
0 = -1/2x² - 3x - 1/2
0 = x² + 6x + 1
x = -3 ± 2√2 (use quadratic formula)
As a decimal this can be written as x = -5.83, x = -0.17.