Answer:
I hope it helps . For any clarification , Please notify me through the comment section .
Step-by-step explanation:
![f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x-5%5C%5Cg%28x%29%20%3D%202%28x-1%29%5C%5C%20%5C%5Cg%28-3%29%20%3D%202%28-3-1%29%5C%5Cg%28-3%29%20%3D%202%28-4%29%5C%5Cg%28-3%29%20%3D%20-8%5C%5C%5C%5Cf%5Bg%28x%29%5D%20%3D%20f%282%28x-1%29%5C%5Cf%5Bg%28x%29%5D%20%3D%203%5B2%28x-1%29%5D-5%5C%5Cf%5Bg%28x%29%5D%20%3D%203%5B2x-2%5D-5%5C%5Cf%5Bg%28x%29%5D%20%3D%206x-6-5%5C%5Cf%5Bg%28x%29%5D%20%3D%206x-11%5C%5C%5C%5Cg%5Bf%28x%29%5D%20%3D%20g%5B3x-5%5D%5C%5Cg%5Bf%28x%29%5D%20%20%3D%202%5B3x-5-1%5D%5C%5Cg%5Bf%28x%29%5D%20%3D%206x%20-10-2%5C%5Cg%5Bf%28x%29%5D%20%20%3D%206x%20-12)
Step-by-step explanation:
10. 12
11. 500
12.8
13.45
Answer:
A function is shown where b is a real number. f(x)=x^2+bx+144 The minimum value of the function is 80. Create an equation for an equivalent function in the form f(x)=(x-h)^2+k.
Answer:
7.07
Step-by-step explanation:
<h2><u>Length</u></h2>
a square has equal length on each side
hence is the perimeter is 20 it means that :
each side is 20/4 = 5
we can make a diagonal line which create 3 right angled triangles
2 sides of the triangle are 5 , this is the base and the height
to find the length we can make use of the Pythagoras theorem
c^2 = a^2 + b^2
c is the hypotenuse ( the diagonal;)
a and b are the opposite and adjacent
hence :
c^2 = 5 ^2 + 5^2
c^2 = 50
c = 
c = 7.071
to 3sf
<h3><u>diagonal length = 7.07</u></h3>
I believe it’s b or c... Hope this helps!