Question

what is (ƒ o g)(11) if f(x) = √x - 3 and g(x) = x − 7? (fog)(11) = -1 −1 (fog)(11) = √11 – 10 | ) (fog)(11) = 5 ) (fog)(11) = 3√2 – 3​

Answer 1

The composition of functions (f o g)(11) with f(x) = √x - 3 and g(x) = x - 7 results in -1, as g(11) is 4 and f(4) is -1.

Step-by-step explanation:

The question asks to find the value of the composition of functions (f o g)(11) given two functions

f(x) = √x - 3 and g(x) = x - 7.

To find this, we first evaluate g(11), which is 11 - 7 = 4. Then we apply f to the result:

f(g(11)) = f(4) = √4 - 3 = 2 - 3 = -1.

Therefore, (f o g)(11) equals -1.