List the steps that should be used to solve the equation (f)x=g(x) by graphing when f(x)=(1/2)^x-3 and g(x)=3x+5

ANSWER

See explanation.

EXPLANATION

Step 1

Graph each of the functions.

and

Step 2

Look for the point of intersection of the two graphs.

From the graph, the two functions intersected at

(0.38,6.14)

A = {1, 3, 5, 6, 7, 8, 9}

B = {2, 3, 6, 9, 10}

Step-by-step explanation:

Here as given in the question:

A – B = {1, 5, 7, 8}   ⇒ {1, 5, 7, 8} is in A not in B.

B – A = {2, 10} ⇒  {2, 10} is in B  not in A

A ∩ B = {3, 6, 9}   ⇒ {3, 6, 9} is BOTH in A and B.

Step 1:

Set A can also be expressed as :  A = (A - B) ∪ (A ∩ B)

Set A can also be expressed as :  B = (B - A) ∪ (A ∩ B)

Step 2:

Substituting the values of (A - B) and (B - A)

A = {1, 5, 7, 8} ∪ {3, 6, 9}

B = {2, 10} ∪ {3, 6, 9}.

Step 3:

Finding the UNION of the above two sets, we get:

A = {1, 3, 5, 6, 7, 8, 9}

B = {2, 3, 6, 9, 10}