Question

Honors Algebra II & Trig

Given: f(x)=√6-x and g(x)= 5x-7...

find: (fog)(1)

p.s. The answer is √8, but I need to know how to do the work for it.

Answer 1

The answer to your question is: f(g(1)) =
`√(8)`

Explanation:

Data

f(x) =
`√(6- x)`

g(x) = 5x - 7

find: (fog)(1)

f(g(x)) =
`√(6- 5x + 7)`

f(g(x)) =
`√(13 -5x)`

f(g(1)) =
`√(13 - 5(1))`

f(g(1)) =
`√(8)`