Given the functions, fx) = x^2-4 and g(x) = x+ 2, perform the indicated operation. when applicable, state the domain restriction. f(g(x))

ANSWER

EXPLANATION

The given functions are:

and

We want to find

We substitute x+2 wherever we see x in f(x).This implies that;

We can rewrite the perfect square term as

We expand to get:

This simplifies to

This is a polynomial function. The domain of this function is the values of x for which the function is defined. Since polynomials are defined for all real values, the domain is all real numbers.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

he earned 78.75 in interest.

step-by-step explanation: