The function f(x)= x^2 -4 is translated 3 units to the right to create function g(x). What is g(9)?

g(9) = 32

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f(x) is translated 3 units right, thus

g(x) = (x - 3)² - 4, hence

g(9) = (9 - 3)² - 4 = 6² - 4 = 36 - 4 = 32

if im not mistaking its

step-by-step explanation:  

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.