Answer:
g(f(x)) =3(x2)+1
Step-by-step explanation:
g(f(x)) means substitute f(x) in the eqn g(x)
That is anywhere you see x2, use it to replace x in the eqn g(x)
Answer:
91
Step-by-step explanation:
add the given numbers then subtract the solutions from 180. as all triangles sides add up to 180.
The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.
<h3>What is the instantaneous rate of change of the function at the given point?</h3>
The instantaneous rate of change is simply the change in the derivative value at a specific point.
Given the data in the question;
- f(x) = −4x² − 3x + 1
- Point x = -3
To determine the instantaneous rate of change of the function, first find the derivative of the function.
f(x) = −4x² − 3x + 1
Applying sum rule, with respect to x
d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]
[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]
[ -8x ] + [ -3 ] + d/dx[ 1 ]
-8x - 3 + d/dx[ 1 ]
Differentiate using constant rule
-8x - 3 + [ 0 ]
-8x - 3
f'(x) = -8x - 3
Next, plug x = -3 into the derivative and simplify.
f'(x) = -8x - 3
f'(-3) = -8(-3) - 3
f'(-3) = 24 - 3
f'(-3) = 21
Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.
Learn more about instantaneous rate of change here: brainly.com/question/28122560
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Answer:
1024/1771561
Step-by-step explanation:
Using exponent rules, we can multiply all of them together after applying the exponent to get the final answer.
Answer:
2 possible coordinate pairs
N (8, 17) OR (-12, -3)
Step-by-step explanation:
The rule:
(x, y) => (x + 10, y + 10) OR (x - 10, y -10)
(-2 + 10, 7 + 10) OR (-2 - 10, 7 -10)
(8, 17) OR (-12, -3)
Hope this helps!
