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Dafna11 [192]
3 years ago
6

Hey help me pls:^will give Yuh brainliest!!!!!​

Mathematics
2 answers:
mars1129 [50]3 years ago
6 0

Answer:

1) x+10

2) 1/2

Step-by-step explanation:

Anna [14]3 years ago
5 0

Answer:

1.

x + 10

2. 1/2

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Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
DanielleElmas [232]

Answer:

g^{-1}(x)=f(x)=e^{\frac{x}{3}}

Step-by-step explanation:

We have been given two functions as g(x)=\text{ln}(x^3) and f(x)=e^{\frac{x}{3}}. We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of g(x)=\text{ln}(x^3) as:

y=\text{ln}(x^3)

Interchange x and y values:

x=\text{ln}(y^3)

Using log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

x=3\cdot \text{ln}(y)

\frac{x}{3}=\frac{3\cdot \text{ln}(y)}{3}

\frac{x}{3}=\text{ln}(y)

Using log definition; If \text{log}_a(b)=c, then b=a^c, we will get:

y=e^{\frac{x}{3}}

g^{-1}(x)=e^{\frac{x}{3}}

Therefore, we can see that function f(x)=e^{\frac{x}{3}} is inverse of function g(x)=\text{ln}(x^3).

We can see that both functions are symmetric about line y=x, therefore, both functions are inverse of each other.  

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D,C

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