Answer: (-∞,-1) ∪ (0,+∞)
Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.
In this case, fog(x) means:
fog(x) = f(g(x))
fog(x) =
This is the function fog(x).
The domain of a function is all the values the independent variable can assume.
For fog(x), denominator can be zero, so:
If x = 0, the function doesn't exist.
<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>
Answer:
85°
Step-by-step explanation:
Please follow along with these directions on the attached picture so that this makes sense. I have labeled the picture with the variables I used and the angles I figured out.
Let's start in the top left corner. Remember: triangles always have 180°, and straight lines always have 180°.
180-115 = 65
65+85+x = 180, so x = 30
30+90+y = 180, so y = 60
180-155 = 25
25+60+z = 180, so z = 95
180-95 = 85°
Answer: " x = 12 " .
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Step-by-step explanation:
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<u>Note</u>: If 2 (two) triangles are "similar" ; then their corresponding sides are "proportional".
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Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically; " 6x + 28 " ;
→ And since we want to solve for the value of "x" ; we use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :
→ Set up proportions as a "ratio" ; or fraction:
→ 7:28::25:(6x + 28) ; Solve for "x" ;
Let us write this in the form of a "fraction" :
→ ;
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<u>Note</u>:
→ Rewrite: " " ; by simplifying to:
" " ;
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→ Since: " " ;
= " (7÷7) / (28÷7) " ;
= " (1 /4) " ;
= " " .
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Now, rewrite the "proportion" ; as follows:
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;
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Now: "Cross multiply" ; that is:
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→ Given: " " ;
and: " b0 " ; " d
0 " ;
→ Then: " a * d " = " b * c " .
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Likewise: " 1(6x + 28) = (4) * (25) " ;
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SImplify: " 6x + 28 = 100 " ; Solve for "x" ;
→ Subtract "28" from each side of the equation:
→ " 6x + 28 - 28 = 100 - 28 " ;
to get: → " 6x = 72 " ;
Now, divide each side of the equation by: " 6 " ;
to isolate "x" on one side of the equation; & to solve for "x" ; as follows:
→ " 6x = 72 " ;
→ 6x / 6 = 72 / 6 ;
to get:
→ " x = 12 " ;
→ which is the answer.
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Hope this helps!
Best wishes in your academic pursuits
— and within the "Brainly" community!
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