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Manhattan
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If n is an integer, f(n) = f(n – 1) – n, and f(4) = 10. What is the value of f(6)?
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191222 还原机经选题: 数论&代数
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Known that -1 and 3 are the two roots of f (x) = ax ^ 2-bx + c, Is f(1)>0？
(1)f(0)=2
(2)f(-3)>f(-4)
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190215
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f(x)=a$$(x+h)^{2}$$+k.a=?
1：f(2)=2
2：f(-1)=-4,f(x) ≤ 4
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Magoosh
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If F is a factor of 105, is F is a prime number?Statement #1: F is not divisible by 3Statement #2: F < 10
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Magoosh
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Given$$f(x)= {{x}\over{x+1}}$$, for what value k does $$f(f(k))=\frac{2}{3}?$$
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OG12
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For all integers n, the function f is defined by $${f}({n})={a}^{n}$$, where a is a constant. What is the value of $$f (1)$$?(1)$$f (2) = 100$$(2)$$f (3) = -1,000$$
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181215
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f(x)=$$\frac{4x^{2}-1}{1-2x}$$,$$\frac{f(\sqrt{3})-f(\sqrt{2})}{\sqrt{3}-\sqrt{2}}$$=?
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190603
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It is given that f(x)=1-x, What is value of “ -f{ f(-(1-x))}”
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The function f is defined by $${f}({x})=-\frac{1} x$$ for all nonzero numbers x. If $${f}({a})=-\frac1 2$$ and $${f}({a}{b})=\frac1 6$$, then b =
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Manhattan
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What is the minimal value of function f(x)?(1) $$f(0) = 16$$(2) $$f(x) = (x – 4)^2$$
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190407
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f(m,n)=$$(-1)^{m}$$$$\frac{n}{2m+n}$$,g(n)=min{f(1,n),f(2,n),f(3,n)}.当n = 1,2,3时，g(n)的最大值是多少？
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Magoosh
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Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 1 = f(3x – 6) ?
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181215
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f(x)=$$\frac{z}{x}$$.The definition domain of $$x_1$$,$$x_2$$ is the range of f(x). Is f$$(x_1)$$ less than f$$(x_2)$$ when $$x_1$$<$$x_2$$?
1：$$x_1$$>0
2：z > 0
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191031
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$$
f ( n ) = \frac { 4 x ^ { 2 } - 1 } { 1 - 2 x } , \frac { f ( \sqrt { 3 } ) - f ( \sqrt { 2 } ) } { \sqrt { 3 } - \sqrt { 2 } } = ?
$$
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191031
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If $$f ( x ) = \frac { 4 x ^ { 2 } - 1 } { 1 - 2 x } $$，then $$\frac { f ( \sqrt { 3 } ) - f ( \sqrt { 2 } ) } { \sqrt { 3 } - \sqrt { 2 } }$$？
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If f is the function defined by f(x) = 2x for $$x \geq 0 $$ and $${f}({x})={x}^{2}$$ for $$x < 0$$, what is the value of f(c) ?(1) $$\mid c\mid= 2$$(2) $$c < 0$$
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190113
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If n is odd, f(n)=$$2^{n}$$. If n is even, f(n)=$$3^{n}$$. What is the value of f(n) when n=$$2^{10}$$?
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190415
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f(x)=1-x+$$x^{2}$$-$$x^{3}$$+$$x^{4}$$-$$x^{5}$$.f(3)=?
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181215
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f(x)=-2$$(x-5)^{2}$$+3. What is the maximum value of f(x)?
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191020
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f(s)=$$\frac { 1 } { 4 } * s * t ^ { 2 }$$，and s= $$ 4^ { t }$$，so f(64)=?
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