F(x) = 7/ g(x) = x-4 Can you evaluate (gof)(O)? Explain why or why not.

Question

asked Mar 25, 2020 2.8k views

1 Answer

Chaoyu · Answer 1 · 2020-03-30T01:00:23+0000

For this case we have the following functions:

$f (x) = 7\\g (x) = x-4$

We must find
$(g_ {0} f) (x)$ . By definition we have to:

$(g_ {0} f) (x) = g (f (x))$

So:

$(g_ {0} f) (x) = (7) -4 = 7-4 = 3$

Then, regardless of the value of "x",
$(g_ {0} f) (x) = 3.$

Answer:

For any value of "x",
$(g_ {0} f) (x) = 3$ . Thus,
$(g_ {0} f) (0)$ cannot be evaluated, the result will always be 3.