find function f(x) such that f(x)-f(x-1)=x
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find the value of b and c for a quadratic function f(x) = x2+bx+c such that the solution of the equation f(x)=0 are \(\sqrt{3},-\sqrt{3}\)
Câu 1 The function mm is defined on the real numbers by m(k) dfrac{k+2}{k+8}m(k) k+8 k+2 . What is the value of 10times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x) ax-3f(x)ax−3. What is the value of a if f(3)9f(3)9? Answer: Câu 3 The function ff is defined on the real numbers by f(x) 2x+a-3f(x)2x+a−3. What is the value of a if f(-5)11f(−5)11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) 2 + x-x^2f(x)2+x−x 2 . What is the value of...
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Câu 1 The function mm is defined on the real numbers by m(k) = \dfrac{k+2}{k+8}m(k)= k+8 k+2 . What is the value of 10\times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(3)=9f(3)=9? Answer: Câu 3 The function ff is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-5)=11f(−5)=11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) = 2 + x-x^2f(x)=2+x−x 2 . What is the value of f(-3)f(−3)? Answer: Câu 5 Given a real number aa and a function ff is defined on the real numbers by f(x)=-6\times|3x|-4f(x)=−6×∣3x∣−4. Compare: f(a)f(a) f(-a)f(−a) Câu 6 There are ordered pairs (x;y)(x;y) where xx and yy are integers such that \dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8} x 5 + 4 y = 8 1 Câu 7 Given a negative number kk and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)= 13 6 x. Compare: f(k)f(k) f(-k)f(−k) Câu 8 Given a positive number kk and a function ff is defined on the real numbers by f(x)=\dfrac{-3}{4}x+4f(x)= 4 −3 x+4. Compare: f(k)f(k) f(-k)f(−k). Câu 9 A=(1+2+3+\ldots+90) \times(12 \times34-6 \times 68):(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6})=A=(1+2+3+…+90)×(12×34−6×68):( 3 1 + 4 1 + 5 1 + 6 1 )= Câu 10 Given that \dfrac{2x+y+z+t}{x}=\dfrac{x+2y+z+t}{y}=\dfrac{x+y+2z+t}{z}=\dfrac{x+y+z+2t}{t} x 2x+y+z+t = y x+2y+z+t = z x+y+2z+t = t x+y+z+2t . The negative value of \dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+x}{y+z} z+t x+y + t+x y+z + x+y z+t + y+z t+x is
Given that f(x)=x^4+ax^3+b is divisible by g(x)=x^2-1. Find a+b
\(x^2-1=\left(x+1\right)\left(x-1\right)\)
\(f\left(x\right)=x^4+ax^3+bf\left(x\right)=x^4+ax^3+b\)
Theo định lí Bezout, ta có :
\(f\left(1\right)=1+ax^3+b=0=>a+b=-1\)
\(f\left(-1\right)=1-a+b=0=>-a+b=-1\)
Giải hệ phương trình, ta có:
a+b=-1
-a+b=-1
=> a=0;b=-1
=>a+b=-1
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The function f is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(5)=12f(5)=12? Answer:
Given that f(x) = x4+ax3+b is divisible by g(x)=x2-1. Find a+b
Given that f(x) = x4+ax3+b is divisible by g(x)=x2-1. Find a+b
Given that f(x) = x4+ax3+b is divisible by g(x)=x2-1. Find a+b
The function g is defined on the real numbers by g(x) 2x + x(x+3)g(x)2x+x(x+3). What is the value of g(2)g(2)? Answer: Câu 2 The function p is defined on the real numbers by p(q) dfrac{q^2-q}{(q+1)q}p(q)(q+1)qq2−q. What is the value of 10times p(-11)10×p(−11)?Answer: Câu 3 The function p is defined on the real numbers by p(q) 3-left| {3q-7} right|p(q)3−∣3q−7∣. What is the value of p(-2)p(−2)? Answer: Câu 4 The function f is defined on the real numbers by f(x) 2x+a-3f(x)2x+a−3. What is t...
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The function g is defined on the real numbers by g(x) = 2x + x(x+3)g(x)=2x+x(x+3). What is the value of g(2)g(2)?
Answer:
Câu 2
The function p is defined on the real numbers by p(q) =\dfrac{q^2-q}{(q+1)q}p(q)=(q+1)qq2−q. What is the value of 10\times p(-11)10×p(−11)?
Answer:
Câu 3
The function p is defined on the real numbers by p(q) = 3-\left| {3q-7} \right|p(q)=3−∣3q−7∣. What is the value of p(-2)p(−2)?
Answer:
Câu 4
The function f is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-3)=6f(−3)=6?
Answer:
Câu 5
Given a negative number k and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)=136x.
Compare: f(k)f(-k)
f(-k)f(−k)
The function is defined on the real numbers by . What is the value of ? Answer: Câu 2:The function is defined on the real numbers by . What is the value of a if ? Answer: Câu 3:The function is defined on the real numbers by . What is the value of ? Answer: Câu 4:The function is defined on the real numbers by . What is the value of ?Answer:Câu 5:Given triangle ABC, m∠B60°. Two bisectors AP and CQ intersect at I.The measure of angle AIC is Câu 6:Câu 7:Câu 8:Given a negative number and a func...
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The function is defined on the real numbers by
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Answer:
Câu 2:
The function is defined on the real numbers by
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Answer:
Câu 3:
The function is defined on the real numbers by
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Answer:
Câu 4:
The function is defined on the real numbers by
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Answer:
Câu 5:
Given triangle ABC, m∠B=60°. Two bisectors AP and CQ intersect at I.The measure of angle AIC is
Câu 6:
Câu 7:
Câu 8:
Given a negative number and a function
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Compare:
Câu 9:
Given a positive number and a function
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Compare:
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Câu 10:
Given a real number and a function
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Compare: