522,370 views
9 votes
9 votes
F(x) = -4x + 10

g(x) = x2 + 7x+ 5
Composition of functions how to solve value of g [f(4)]

User John Stauffer
by
2.6k points

1 Answer

23 votes
23 votes

9514 1404 393

Answer:

g(f(4)) = -1

Explanation:

Evaluate this the way you would any function. Start with the inner parentheses according to the order of operations. Substitute for the function variable and do the arithmetic.

g(f(4)) = g(-4·4 +10) = g(-6) = (-6)² +7(-6) +5 = 36 -42 +5

g(f(4)) = -1

User Xavero
by
2.9k points