4/(√<em>x</em> - √(<em>x</em> - 2)) × (√<em>x</em> + √(<em>x</em> - 2))/(√<em>x</em> + √(<em>x</em> - 2))
= 4 (√<em>x</em> + √(<em>x</em> - 2)) / ((√<em>x</em>)² - (√(<em>x</em> - 2))²)
= 4 (√<em>x</em> + √(<em>x</em> - 2)) / (<em>x</em> - (<em>x</em> - 2))
= 4 (√<em>x</em> + √(<em>x</em> - 2)) / (<em>x</em> - <em>x</em> + 2)
= 4 (√<em>x</em> + √(<em>x</em> - 2)) / 2
= 2 (√<em>x</em> + √(<em>x</em> - 2))
f(x) = 3x²
g(x) = 4x³ + 1
f(g(x)) = 3.(4x³ + 1)²
As we know
(a + b)² = a² + 2.a.b + b²
So,
(4x³ + 1) = (4x³)² + 2.4x³.1 + 1² =
f(g(x)) = 3.()
The degree is the maximum exponent, so, 6.
Steps to solve:
y + 8 = -11
~Subtract 8 to both sides
y = -19
Best of Luck!
Answer:
x = -1
y = 4
Step-by-step explanation:
Solving system of linear equations by elimination method.
8x + 3y = 4 ---------------(I)
2x + y = 2 --------------(II)
Multiply the second equation by (-3) and then add them.Thus y will be eliminated and we will obtain the value of 'x'.
(I) 8x + 3y = 4
(II)*(-3) <u> -6x - 3y = -6 </u> {Now add}
2x = -2
x = -2/2
Plugin x = (-1) in any one of the equations. Here I have chosen equation (II)
2*(-1) + y = 2
-2 + y = 2
y = 2 + 2