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.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7