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AnnyKZ [126]
3 years ago
10

Solve the expression. 2^3 + 17 - 3g4 = ?

Mathematics
1 answer:
Xelga [282]3 years ago
6 0
2^3 +17-3g•4
8+17-12g
25-12g

Hope this helps :)
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Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
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Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

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Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

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y = \frac{d}{5} + \frac{3}{5}

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a'(d) = \frac{d}{5} + \frac{3}{5}

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To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

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a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

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a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

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Answer:

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Step-by-step explanation:

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