Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
Answer:
5
Step-by-step explanation:
<span><span>3y−4</span>−5y</span><span>=<span><span><span><span>3y+</span>−4</span>+</span>−5y
</span></span>Combine Like Terms:<span>=<span><span>3y+−4</span>+<span>−5y</span></span></span><span>=<span><span>(<span>3y+<span>−5y</span></span>)</span>+<span>(−4)</span></span></span><span>=<span><span>−2y</span>+<span>−<span>4</span></span></span></span>
Step-by-step explanation:
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