given the functions, f(x)=x^2 and g(x)=x+2, perform the indicated operation. when applicable, state the domain restriction. f(g(x)

h(g(x)) = x²+4x+4

Domain restriction =

Step-by-step explanation:

Given the functions  h(x)=x^2 and g(x)=x+2, we are to find h(g(x)). To get the indicated operation we need to follow the steps;

Since the function in parenthesis g(x) = x+2

h(g(x)) can be written as h(x+2). Hence we are to look for the equivalent expression of  h(x+2).

Since h(x) = x², h(x+2) can simply be gotten by simply replacing the variable x in h(x) as x+2 as shown;

h(x+2) = (g(x))²

h(x+2) = (x+2)²

We can open the bracket

h(x+2) = x²+4x+4

The domain restriction is the point where the function cannot exist for the value of x. The function can therefore exist on any real value R. The only domain restriction is at the interval

Hence h(g(x))  is equivalent to x²+4x+4.

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.

$75.00

step-by-step explanation:

i = prt

i = 1,5000 * 0.025 * 2

i = 75