Given the following functions:

f(x) = x^2

g(x) = x-3

find the composition of the two functions and show your process:

f(g(x))

(x-3)^2

g(x) going inside of the x in f(x). therefore f(g(x))=(x-3)^2

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.