Answer:
Domain should be Df = {x>-1}
Step-by-step explanation:
Insert the g(x) into the x of f(x) function. Then let the denominator of the fg(x) = 0 <em>(</em><em>u</em><em>n</em><em>d</em><em>e</em><em>f</em><em>i</em><em>n</em><em>e</em><em>d</em><em>)</em>. Find x.
<span>Equation at the end of step 1 :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> -3x3y7 + x3y - 6y</span> = <span> -y • (3x3y6 - x3 + 6)</span>
Trying to factor a multi variable polynomial :
<span> 3.2 </span> Factoring <span> 3x3y6 - x3 + 6</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
<span>Equation at the end of step 3 :</span><span> -y • (3x3y6 - x3 + 6) = 0
</span><span>Step 4 :</span>Theory - Roots of a product :
<span> 4.1 </span> A product of several terms equals zero.<span>
</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>
</span>We shall now solve each term = 0 separately<span>
</span>In other words, we are going to solve as many equations as there are terms in the product<span>
</span>Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
<span> 4.2 </span> Solve : -y = 0<span>
</span>Multiply both sides of the equation by (-1) : y = 0
Answer:
y = mx + c
m = -4
at y intercept x = 0
(x,y) =(0,-3)
-3 = -4(0) + c
c = -3
therefore the answer is y = -4x + c
It would be the same you would already be dividing by 3 because it’s the denominator and the numerator is 2
Answer:
y=-1.5x-2
Step-by-step explanation:
18y=12x-72
3y=2x-12
y=2/3x-4
Slope=-1.5
7=-6(-1.5)+b
7=9-2
