Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Answer:
Yes.
Step-by-step explanation:
A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.
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<span>Can a Segment have more than one bisector. Yes A segment can have more than one bisector. For every line segment, there is one perpendicular bisector that passes through the midpoint. There are infinitely many bisectors, but only one perpendicular bisector for any segment.</span>
<u>Answer:
</u>
The difference of (12f - 8g + 3h) -(4f – g + 5h) is 8f - 7g - 2h
<u>Solution:
</u>
From question given that the expression is
(12f - 8g + 3h) - (4f – g + 5h)
We have to find the difference of both the expressions.
By removing the parenthesis the above equation becomes,
12f - 8g + 3h - 4f + g - 5h
Separate the terms of f, g and h in above equation,
12f - 4f - 8g + g + 3h - 5h
On simplifying the above expression,
8f - 7g - 2h
Hence difference of (12f - 8g + 3h) - (4f – g + 5h) is 8f - 7g - 2h
