Given the following functions f(x) and g(x), solve f[g(7)].
f(x) = 4x + 21
g(x) = 2x + 2
OR,
f(g(x)) = 4g(x)+21 = 4(2x+2)+21 = 8x+29
so f(g(7)) = 8*7 + 29 = ___
To solve for f[g(7)], we follow these steps:
1. Start with the innermost function g(x). Evaluate g(7) by substituting x = 7 into the function g(x).
g(7) = 2(7) + 2
= 14 + 2
= 16
2. Now that we have the value of g(7), substitute it into the outer function f(x).
f[g(7)] = f(16)
3. Evaluate f(16) by substituting x = 16 into the function f(x).
f(16) = 4(16) + 21
= 64 + 21
= 85
Therefore, f[g(7)] = 85.
f(x) = 4x + 21
g(x) = 2x + 2
g(7) = 2(7)+2 = 16
f[g(7)] = 4(16) + 21
= .....