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Let the function f (x) = 2 to the power of X / A + A / 2 to the power of X be an even function to find the value of A
f(-x)=(2^-x)/a+a/[2^(-x)]=1/(a*2^x)+a*2^x=f(x)=2^x/a+a/(2^x)
therefore
a=1/a
Namely
a ²= one
A = 1 or a = - 1
I hope it will help you
It is known that 53x + 1 ÷ 5x-1 = 252x-3, find the value of X
The primitive is equivalent to
52x+2=54x-6
2x+2=4x-6
x=4．
So the answer is: 4
Given that f (x) = x to the fourth power - 2x to the third power + 3x square - 2x + 1, find the remainder R obtained by dividing f (x) by the following formulas: (1) x + 1, (2) X-1, (3) x + 2（
Use polynomial division, or split (1) x ^ 4-2x ^ 3 + 3x ²- 3x + 1 = (x ^ 4 + x ^ 3) - (3x ^ 3 + 3x ^ 2) + (6x ^ 2 + 6x) - (8x + 8) + 9 ‡ the remainder is 9 (2) x ^ 4-2x ^ 3 + 3x ²- 3x + 1 = (x ^ 4-x ^ 3) - (x ^ 3-x ^ 2) + (2x ^ 2-2x) + 1 the remainder is 1 (3) x ^ 4-2x ^ 3 + 3x ²- 3x+1=(x^4+2x^3)-(4...
Given that the 3x power of a = 1 / 27, find the 2x power of a plus the negative 2x power of a divided by the x power of a plus the negative x power of A
a^3x=1/27=(1/3)^3
a^x=1/3
a^-x=1/a^x=1/1/3=3
a^2x=(1/3)^2=1/9
a^-2x=1/a^2x=1/1/9=9
(a^2x+a^(-2x))/(a^x+a^(-x)
=(1 / 9 + 9) / (1 / 3 + 3) numerator denominator times 9
=(1+81)/(3+27)
=82/30
Given that the x power of 2 = 3 and the Y power of 2 = 5, find the value of 3x + 2Y + 2 power of 2 Find the correct rate
=The (3x) power of 2 times the (2Y) power of 2 times the 2nd power of 2
=[x power of 2] ³ Multiply by [the Y power of 2] ² Multiply by 2 ²
=3 ³× five ²× two ²
=2700
What does (x) of the negative power of F mean, what formula is there, and how to calculate it What is the relationship with the image of F (x)
It represents the inverse function of F (x). It's just a notation. There's no formula
His image is symmetrical to the image of F (x) with respect to the straight line y = X
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