Replace <span><span>f<span>(x)</span></span><span>fx</span></span> with <span>yy</span>.<span><span>y=<span><span>6<span>x3</span></span><span>−8</span></span></span><span>y=<span><span>6<span>x3</span></span><span>-8</span></span></span></span>Interchange the variables.<span><span>x=<span><span>6<span>y3</span></span><span>−8</span></span></span><span>x=<span><span>6<span>y3</span></span><span>-8</span></span></span></span>Solve for <span>yy</span>.
<span><span>y=<span><span>3<span>√<span>36<span>(<span>x+8</span>)</span></span></span></span>6</span></span><span>y=<span><span><span>36<span>x+8</span></span>3</span>6</span></span></span>Solve for <span>yy</span> and replace with <span><span><span>f<span>−1</span></span><span>(x)</span></span><span><span>f<span>-1</span></span>x</span></span>.
<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span>3<span>√<span>36<span>(<span>x+8</span>)</span></span></span></span><span>6</span></span></span>
The answer for the completion exercise shown in the image attached above is:
1) Multilplication property of equality (If you multiply mEFG+mGDE=360° both sides of the equation by 1/2, you obtain 1/2(mEFG)+1/2(mGDE)=180°).
2) m∠D=1/2(mEFG)
3) m∠F=1/2(mGDE)
4) By the substitution property of equality (Because if you substitute m∠D=1/2(mEFG) and m∠F=1/2(mGDE) into 1/2(mEFG)+1/2(mGDE)=180°, you obtain: m∠D+m∠F=280°).
2.943 × 10-²
= <span>2.943
----------
10²</span>
<u>Set up the composite function and simplify. </u>
f = 2x + 3,
g = -x^2 + 5,
f(x) o g(x):
D. 134
BAC and CAD are adjacent angles, because they share a common vertex (A) and a common side AC, (an no other common points but the points on side AC).
The 2 adjacent angles form a new larger angle (BAD), whose measure is the sum of the measures of the adjacent angles.
This is called the "Angle Addition Postulate"
Answer: A
