Math

QuestionEvaluate fg|f-g| for f=13f=13 and g=50g=-50.

Studdy Solution

STEP 1

Assumptions1. We are given that f=13f=13 and g=50g=-50. . We need to evaluate the expression fg|f-g|.

STEP 2

First, we need to substitute the given values of ff and gg into the expression.
fg=13(50)|f-g| = |13 - (-50)|

STEP 3

Next, we simplify the expression inside the absolute value. Remember that subtracting a negative number is the same as adding a positive number.
fg=13+50|f-g| = |13 +50|

STEP 4

Now, we perform the addition inside the absolute value.
fg=63|f-g| = |63|

STEP 5

Finally, we evaluate the absolute value of63. The absolute value of a number is its distance from zero on the number line, so it is always positive or zero.
fg=63|f-g| =63So, the value of the expression fg|f-g| for f=13f=13 and g=50g=-50 is63.

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