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Kazeer [188]
3 years ago
10

Given that f(x)=6x+2 and g(x)= 2x+4/5 solve for g(f(1))

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0

Note that f(1) = 6(1)+2 = 8.  Next, evaluate g(x) at x=8:  g(f(1)) = g(8) = 2(8) + 4/5, or 16 4/5.

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anzhelika [568]

Answer:

The answer to your question is below

Step-by-step explanation:

                csc α - cot α = \frac{sin \alpha }{1 + cos \alpha }

Work with the left part

                \frac{1}{sin\alpha } - \frac{cos \alpha }{sin \alpha}

Simplify

                \frac{1 - cos\alpha }{sin\alpha }

Multiply by the reciprocal

 \frac{1 - cos\alpha }{sin \alpha } x \frac{1 + cos\alpha }{1 + cos\alpha }                                  

Simplify

\frac{1 - cos^{2}\alpha}{sin\alpha (1 + cos\alpha)}

Remember that

                 sin²α = 1 -cos²α

Substitute the previous equation

\frac{sin^{2}\alpha }{sin\alpha(1 + cos\alpha ) }

Simplify

\frac{sin\alpha}{1 + cos \alpha}      

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LESSON
bagirrra123 [75]
C is the answer hope that helps have a good day
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