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3 years ago

Plz help me with this

Mathematics

1 answer:

Delvig [45]3 years ago

4 0

Answer: C) log₄ 84

Step-by-step explanation:

The rule for condensing (combining) log expressions that are added is MULTIPLICATION

log₄12 + log₄7 = log₄(12 × 7) = log₄ 84

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State of the given functions are inverses

bonufazy [111]

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$

$f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}$

$f[g(x)]=\frac{7}{2}-\frac{3}{4}x$

As f[g(x)] is not equal to x, these functions are not inverses.

Let's find f[g(x)] and simplify.

$f[g(n)]=\frac{-16+(4n+16)}{4}$

$f[g(n)]=\frac{-16+4n+16}{4}$

$f[g(n)]=\frac{4n}{4}$

$f[g(n)]=n$

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

$g[f(x)]=4(\frac{-16+n}{4})+16$

$g[f(x)]=-16+n+16$

$g[f(x)]=n$

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!

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3 years ago

How do I solve these math problems

olchik [2.2K]

Its simple. You collect like terms and put them on one side of the equation

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3 years ago

What are the surface area and volume of a regular triangular pyramid with a height of 9 cm and a slant height of 15 cm?

d1i1m1o1n [39]

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4 years ago

Need help with this ASAP

faust18 [17]

9 yards I’m sorry if it’s wrong

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3 years ago

Read 2 more answers

Please answer number one as well as show your work thank you!

sveta [45]

√2 is irrational

a rational number Q can be expressed in the form $\frac{a}{b}$ where a and b are integers.

- 18 = $\frac{- 18}{1}$ ⇒ rational

$\frac{2}{3}$ ⇒ rational

3.14 = $\frac{314}{100}$ ⇒ rational

√2 = 1.414213562...... ⇒ irrational

8 0

3 years ago