For what values of x do the following represent real number?(a) 1/√(x² - 16)(b) 1/√(36 - x²)

what are all values of x for which 4-x^2≥x-2? 一道简单的英语数学题：If x²-7x+9=(x+a)²+b for all x,then what are the values of a and b For what values of x do the following represent real number?(a) 1/√(x² - 16)(b) 1/√(36 - x²) 一道英文算数题,If 4X^2-3X+P>0,for any real values of x,find the range of values of p. 12.Let f(x) = x^2 + 6x + c for all real numbers x,where c is some real number.For what values of c does f(f(x)) have exactly 3 distinct real roots? 英语翻译For all positive values of x,the function f is defined by f(x)=...,Of the folowing,which is the best approximation of f(x) for values of x greater than 1000? tangent line For what values of a and b is the line 4x+y=b tangent to the curve y=ax^3 when x=5?求详细解答 Exercise 1.Consider the following system of linear equations where a is a number:2x + 3y - z = a-4x - 6y = a-x- z = a注：这仨是个方程组 大括号打不进来a) For what values of a does the system above have a unique solution?b) For what val 一道国外数学题,望高手来解答,详细过程和思路,谢谢!（可能有些小错误,但应该不会出错）Given a function f for which f(x)=f(398-x)=f(2158-x)=f(3214-x).Holds for all Real x,what is the large number of different values th several values of the function f are shown. the function g is defined by g(x)=f(3x+1).what is the value of g(2) if the function f satisfies the equation f(x+y)=f(x)+f(y) for every pair of real numbers x and y,what are the possible values of f(0) A.any real numberB.any positive real numberC.0 and 1 onlyD.1 onlyE.0 only what is values 1 + tan^2x =?Complete the identity (equation) 1 + tan2x = ?x .Is your answer true for all values of x ? If the function f satisfies the equation f(x + y) = f(x) + f(y) for every pair of real numbers xand y,what are the possible values of f(0) A.Any real numberB.Any positive real numberC.0 and 1 onlyD.1 onlyE.0 only Gmat数学题 dataIf b,c,and d are constants and x2 + bx + c = (x + d)2 for all values of x,what is the value of (1) d = 3(2) b = 61我明白怎么出来的,知道b值怎么算出c呢, Determine all linear functions f(x) = ax + b such that if g(x) = f^−1(x) for allvalues of x,then f(x) − g(x) = 44 for all values of x. 英语翻译It was disjointing to be regarded for what I considered to be one of my core values.disjointing的意思?...for what...这是什么从句?整体的意思?如何断句? For what values of m will x^2-2/2x-3 = m-1/m+1 havea.real roots equal in magnitude but opposite in sign?m=1)b.two real,non-equal roots?m 大于 -3,m 不等于 1）