Question
Let f(x)=7-sqrt(x^(2)+1) and g(x)=x-4 . Then (f@g)(2)= (f@g)(x)=
Solution
4.6
(317 Votes)
April
Master ยท Tutor for 5 years
Answer
1.
2. \( 7 - \sqrt{1 + (-4 + x)^2} \)
Explanation
1. The composition of functions
and
is given by \( (f \circ g)(x) = f(g(x)) \). 2. For \( (f \circ g)(2) \), we substitute
into \( g(x) \) to get \( g(2) \). Then, we substitute this result into \( f(x) \) to get \( f(g(2)) \). 3. For \( (f \circ g)(x) \), we substitute \( g(x) \) into \( f(x) \) to get the expression for \( (f \circ g)(x) \).