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)?

Question No 54.Let f(x) and h(x) be functions defined as f(x) = 2x + 4 and h(x) = 2(2x – 2) – 2(x + 2) + 16. Find the largest value of 'x' such that f(x) = 4h(x).

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.

The function f is defined by fx
= 4x2 − 12x + 13 for p < x < q, where p and q are constants. Thefunction g is defined by gx
= 3x + 1 for x < 8.(b) Given that it is possible to form the composite function gf, find the least possible value of p andthe greatest possible value of q.

Express your answer as a polynomial in standard form.f, of, x, equals, 2, x, squared, plus, 3, x, plus, 12f(x)=2x 2 +3x+12g, of, x, equals, 5, x, minus, 6g(x)=5x−6Find: , left parenthesis, g, circle, f, right parenthesis, left parenthesis, x, right parenthesisFind: (g∘f)(x)

Maximize the function 𝑓(𝑥,𝑦)=3𝑥𝑦−8𝑥2−4𝑥−5𝑦+12 subject to the constraint 3𝑥+2𝑦=5 Find the location of the maximum and its value. Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a . and not , for a decimal point.