The function f is defined by f(x)=2x^2+12x+11 for x<=-4?
The function g is defined by g(x)=2x-3 for x<=k
State the largest value of k possible for the composition fg to be defined
How to solve this question?
- Wayne DeguManLv 73 months agoFavorite Answer
f(g(x)) means to put the function g into f
so, g(x) is the domain for f(g(x))
For, f(x) we have that x ≤ -4
Hence, 2x - 3 ≤ -4
i.e. 2x ≤ -1
so, x ≤ -1/2
Greatest value x = -1/2