Pre-Calculus Question?

Question

If f(x) = 4/3x-1 and g(X) = x + 5

What would these be:

1. (f+g)(6)

2. (g*f)(1)

3. Find and simplify (g*f)(x)

4. What is the domain of (g*f)(x)?

Answer 1

(1)

Step 1:

The functions are and .

Find the value of .

Substitute and .

Solution :

The solution is

Answer 2

(3)

Step 1:

The functions are and .

Find the value of .

Substitute and .

Solution :

The solution is

Answer 3

(4)

Step 1:

The functions are and .

Find the value of .

Substitute and .

All possible values of x is domain of the function.

The function is defined for all values of x .

The domain of the is .

Solution :

The domain of the is .

Answer 4

(2)

Step 1:

The functions are and .

Find the value of .

.

Substitute and .

Solution :

The solution is