Answer:
see explanation
Step-by-step explanation:
To evaluate f(g(x)) substitute x = g(x) into f(x)
f(g(x))
= f(3x - 4)
= 2(3x - 4) + 1
= 6x - 8 + 1
= 6x - 7
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To evaluate g(f(x)) substitute x = f(x) into g(x)
g(f(x))
= g(2x + 1)
= 3(2x + 1) - 4
= 6x + 3 - 4
= 6x - 1
As stated in a previous section, the domain of a function is the set of 'input' values (x) for which the function is defined. The domain is part of the definition of a function. For example, the domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 .
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Answer:
- 4 is an interior angle
- 1,2,3 are exterior angles
3. 2x+12+3x-7=360
5x+5=360
5x=360-5
x=355/5
x=71
for exterior
2x+12=360
2x=360-12
x=348/2
x=174
Step-by-step explanation:
hope this will help you
Answer:
Step-by-step explanation:
The triangle KLM is shown in the attached photo. The sum of the angles in a triangle is 180 degrees. It means that
angle K + angle L + angle M = 180 degrees. Since
m angle K=(10x+10). m angle L=(9x-3). m angle M=(7x-9), then
10x + 10 + 9x - 3 + 7x - 9 = 180
10x + 9x + 7x = 180 + 9 + 3 - 10
26x = 182
x = 182/26
x = 7
m angle K=(10x+10) = 10×7 + 10 = 80 degrees
m angle L=(9x-3) = 9×7 - 3 = 60 degrees
m angle M=(7x-9) = 7×7 - 9 = 40 degrees.
The triangle is an acute triangle because each angle is lesser than 90 degrees
The triangle is scalene triangle because non of the sides are equal.