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san4es73 [151]
3 years ago
14

If g(x) = 3x - 4, what is the value of g-¹ (g(13))?​

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

g^-1(g(13)) = 13

Step-by-step explanation:

Step 1: Solve g(13)

g(13) = 3(13) - 4

g(13) = 35

Step 2: Solve g^-1(35)

g^-1(35) = 35 = 3x - 4

39 = 3x

x = 13

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If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26
LuckyWell [14K]

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

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