Answer:
0
Step-by-step explanation:
g[f(x)] = x^2 - 3
= 3x^2
if gf(0) = 3(0)^2
= 0
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Answer:
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Hope this helps
Step-by-step explanation:
Answer:

Step-by-step explanation:
We have the two functions:
and
.
We want to find
.
So, let's use the second function to find
first:

Divide:

Add:

Therefore, our expression is the same to
.
Now, we can substitute 5 for f(x). This yields:

Multiply:

Subtract:

So:

And we're done!
Answer:
y = 0.8425 or y = -0.8425
Step-by-step explanation:
All points in the Cartesian coordinate system have an x and y coordinate, defined by two perpendicular measurements.
If the point is on the unit circle, then the radius of the circle is defined to be 1 unit, and the corresponding right triangle follows the Pythagorean Theorem.

For a unit circle:

Substituting the known value for x, and simplifying...


Subtracting 0.29019769 from both sides to begin to isolate "y"...


Applying the square root property...


So, (to 4 decimal places), the y coordinate could be either 0.8425 or -0.8425.
With only the given information, either result is a valid answer.