All categories

3 years ago

Please solve for a and b thank you so much!

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

a=6 and b=7

Step-by-step explanation:

You might be interested in

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.

8 0

4 years ago

Factor out the coefficient of the variable. The expression 38d+34 factored is

mixer [17]

the answer is 2(19d+17)

5 0

3 years ago

Solve using elimination. 4x − 7y = 19 5x − 7y = 15

Likurg_2 [28]

Answer:

Point Form: (-4, -5)

Equation Form: x = -4, y = -5

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Brainliest Please!!!!!

- Hermionia

8 0

3 years ago

Just part a I’ve done b. Photo provided.

Rasek [7]

Answer:

Step-by-step explanation:

${2}^{x} = \frac{1}{32}$

${2}^{x} = \frac{1}{ {2}^{5} }$

${2}^{x} = {2}^{ - 5}$

$x = - 5$

6 0

3 years ago

This might be easy for u but not for me pls help

Whitepunk [10]

It’s 3! it’s not the confusing once you understand it so i’ll try and help. The constant rate of proportionality is basically it’s constant rate of change. So you look at the graph and see what y equals when x is one. If you can’t than keep going until you see for example that 2 x is at 6 y than you would divide 6 by 2 and get 3. Hope that helps!

6 0

3 years ago