You cant simplify seven tenths
Answer:
x = i π n + log(20)/2 for n element Z
Step-by-step explanation:
Solve for x:
500 = 25 e^(2 x)
500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:
25 e^(2 x) = 500
Divide both sides by 25:
e^(2 x) = 20
Take the natural logarithm of both sides:
2 x = 2 i π n + log(20) for n element Z
Divide both sides by 2:
Answer: x = i π n + log(20)/2 for n element Z
Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
Y = 2x + 1
y = 2(-1) + 1
y= -2 + 1
y= -1
