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2 votes
F(x) = 1 / 2
g(x) = x - 4
Can you evaluate (g o f) (0)? Explain why or why
not.

User Harout
by
7.8k points

2 Answers

5 votes

Sample Response: To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

What did you include in your answer?

You must evaluate the function f first.

Division by 0 is undefined.

The composition cannot be evaluated.

User BartDur
by
8.0k points
6 votes

For this case we have the following functions:


f (x) = \frac {1} {2}\\g (x) = x-4

We must find
(g_ {o} f) (x). For definition of composition of functions we have to:


(g_ {o} f) (x) = g (f (x))

So:


g (f (x)) = \frac {1} {2} -4 = \frac {1-8} {4} = \frac {-7} {4} = - \frac {7} {4}

Then, for any value of "x", the composite function has a value of
- \frac {7} {4}.

Thus,
(g_ {o} f) (0)cannot be evaluated, it will always be obtained
- \frac {7} {4}.

ANswer:

For any value of "x", the composite function has a value of
- \frac {7} {4}.

User Majd Albaho
by
7.8k points

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