Suppose that the function g is defined, for all real numbers, as follows.=gx 2    ≤if x−2−+x122    <−if 2<x2+−14x1    ≥if x2Find g−5, g−2, and g−1.

Suppose that the function h is defined, for all real numbers, as follows.=hx −14x2    ≤if x−2−+x12    <−if 2≤x2−3    >if x2Find h−2, h1, and h5.

wo functions are shown below.f(x) = 12 • 2xg(x) = 5x + 2What is the largest integer value of x such that f(x) ≤ g(x)?

For the function, locate any absolute extreme points over the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.)g(x) = −3x2 + 14.7x − 16.7, −1 ≤ x ≤ 5

The domain of the function f(x) is open square bracket, 20, comma, infinity, right bracket[20,∞) and the range is open square bracket, minus, 16, comma, minus, 2, close square bracket[−16,−2]. Using interval notation, find the domain and range of g, of, x, equals, f, of, 5, xg(x)=f(5x).

Let f(x) be a real value function such that f(x)=2x−1x−2∀ x ∈ (2,∞) and g(x)=x2+1x+(f(x))2+1f(x)∀ x>2, then minimum value of g(x) is