Answer:
y - 1 = 3/2(x - 4)
Step-by-step explanation:
plug in the given(known) x and y coordinates into the point-slope form:
=> y - 1 = 3/2(x - 4)
The function I = 19n is a linear function
The reasonable domain of the function is [0,21]
<h3>How to determine the domain?</h3>
The function is given as:
I = 19n
The smallest value of n is 0 i.e. the smallest number of ticket sold is 0
The maximum capacity is 400.
So, we have:
19n = 400
Divide both sides by 19
n = 21.05
Remove the decimals
n = 21
Hence, the reasonable domain of the function is [0,21]
Read more about domain at:
brainly.com/question/1770447
Since (f/g)(x) = f(x)/g(x) for x to be in the domain of (f/g)(x) it must be in the domain of f and in the domain of g. You also need to insure that g(x) is not zero since f(x) is divided by g(x). Thus there are 3 conditions. x must be in the domain of f: f(x) = 3x -5 and all real numbers x are in the domain of x.
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).
( f o f )(x) = f ( f (x))
= f (2x + 3)
= 2( ) + 3 ... setting up to insert the input
= 2(2x + 3) + 3
= 4x + 6 + 3
= 4x + 9
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o g)(x).
(g o g)(x) = g(g(x))
= –( )2 + 5 ... setting up to insert the input
= –(–x2 + 5)2 + 5
= –(x4 – 10x2 + 25) + 5
= –x4 + 10x2 – 25 + 5
= –x4 + 10x2 – 20
Terms are separated by plus and minus signs, meaning 4b, 7b, and 5 are all separate terms.
Like terms are pretty self explanatory, and they are 4b and 7b, both multiples of b.
The coefficients can be thought of as the number that a variable is multiplied by, and the only variable we see here is b. The coefficients are 4 and 7.
The constant is 5; its value stays at 5, because its value doesn't depend on a variable (the value is constant).