Angelica is working on function machines. she has two machines g(x)=square root x-5 and h(x)= x^2-6. she wants to put them in order so that the output of the first machine becomes the input of the second. she wants to use a beginning input of 6.
a) in what order must she put the machines to get a final output of 5.
b)is it possible for her to get a final output of -5? if so, show how she could do that. if not explain why not.
!

a)
is the input for , so must be first

b)
It's impossible for , because its value is always non-negative for any x. Let's see what about .



The result is a non-constant linear function, so its value can be any real number, including -5. You can calculate for what x it's equal to -5.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )