Hello from MrBillDoesMath!
Answer:
x = 30
Discussion:
Note: I ignored the * in f*(x) as i don't know what it means. (If this is not what you intended, please indicate what * means)
f(x) = 2 sqrt(x-5) + 4
f(x) = 14
=>
14 = 2 sqrt(x-5) + 4 => subtract 4 from both sides
14 -4 = 2 sqrt(x-5) => divide both sides by 2
10/2 = sqrt(x-5) =>
5 = sqrt(x-5) => square both sides
5*5 = x-5 => add 5 to both sides
5*5 + 5 = x
25 + 5 = x
x = 30
Thank you,
MrB
If we want to stretch graph vertically we need to multiply function f(x) with a number greater than 1. By doing so we will for same difference of x get larger difference of F(x) which means function will be stretched.
If we want to flipp over x axis function F(x) all we need to do is to multiply it by -1. Function will change its sign thus for same values of x we will get value of F(x) with oposite sign which means function will be flipped over x axis.
Looking at offered answers we can say that A and B arent answer because we didnt multiply function with number greater than 1.
Answer is C) G(x) = -4x^2
see attached picture.
Round off answer as needed.
