Find the inverse of the following function.

Mathematics

2 answers:

lyudmila [28]3 years ago

7 0

Answer:

f ⁻¹(x) = ∛(x-3)

Step-by-step explanation:

Margarita [4]3 years ago

4 0

Let f(x) be y.

y = x³ + 3

Switch x and y:

x = y³ + 3

Now you need to isolate y and you would get inverse function.

x - 3 = y³

∛(x-3) = y

Final answer: f ⁻¹(x) = ∛(x-3)

Hope this helps.

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It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.

Sonja [21]

Answer:

x = 25

Step-by-step explanation:

It is given that, ray Ray AP bisects angle CAT. It means,

$\angle CAT=\angle CAP+\angle PAT$

Also, $\angle CAP = \angle PAT$

It gives, $\angle CAT=2\angle PAT$

ATQ,

$\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4$

So,

$5x+17=2(3x-4)\\\\5x+17=6x-8$

Taking like terms together,

$5x-6x=-8-17\\\\-x=-25\\\\x=25$

So, the value of x is 25.

8 0

3 years ago

Which of the following is equivalent to (16^3/2)^1/2? 6 8 12 64

Pani-rosa [81]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
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