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JulsSmile [24]
3 years ago
13

Find the inverse of f(x) = 3x - 2.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

x=0.6

Step-by-step explanation:

f(×)=3x-2 , 0=3x-2

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I need help on question 2 i need the simplified answer and the restrictions
Anastaziya [24]

Answer:

x cannot be 5 or -3.

\frac{x+5}{x+3}

Step-by-step explanation:

The restrictions for a fraction is that the bottom cannot be 0.

So if we find when the bottom is 0 we have found the values that x cannot be.

Let's solve x^2-2x-15=0.

Since the coefficient of x^2 is 1 all we have to do is find two numbers whose product is -15 and whose sum is -2.

Those numbers are -5 and 3 since (-5)(3)=-15 and (-5)+(3)=-2.

So the factored form of the equation is:

(x-5)(x+3)=0

This means either x-5=0 or x+3=0.

We do have to solve both.

x-5=0 can be solved by adding 5 on both sides.

x-5+5=0+5

x+0=0+5

x=5

x+3=0 can be solved by subtracting 3 on both sides.

x+3-3=0-3

x+0=0-3

x=-3

So x can be any number except x=5 or x=-3.

We already factored the bottom as (x-5)(x+3).

The top is a difference of squares, x^2-a^2,

which can be factored as (x-a)(x+a).

So the top factors as (x-5)(x+5).

The fraction can then be written as:

\frac{x^2-25}{x^2-2x-15}=\frac{(x-5)(x+5)}{(x-5)(x+3)}

This can further simplified assuming x is not 5 we can write it as \frac{x+5}{x+3}.  I canceled the common factor of (x-5).

5 0
3 years ago
Will mark brainliest!!!!!<br> complete this statement<br> 15x^4a^2+20x^2a^3=5x^2a^2 ( )
Angelina_Jolie [31]
15x^4a^2+20x^2a^3=5x^2a^2 (3x^2+ 4a )

Answer: 3x² + 4a
5 0
3 years ago
Match each trig function to a ratio. tan(A)=
ehidna [41]

Answer:

\frac{y}{x}, the fourth option.

Step-by-step explanation:

Tan means \frac{opposite}{adjacent} or opposite side divided by adjacent side.

Tan A equals the opposite side of the angle A divided by its adjacent side.

The side opposite of A is y and side adjacent to it is x.

So, Tan A equals \frac{y}{x}!

6 0
3 years ago
Please help meeeeeeeeee
aalyn [17]
C.) 1600 pi cm3

When you do 10^2 you get 100 and you multiply that by the height so 16 and you get 1600.
3 0
3 years ago
Read 2 more answers
What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x plus 1 over x plus 5?
viva [34]
We have that

[(4x+2)/(x+5)]-[(3x+1)/(x+5)]
<span>They have common denominators, so just add the numerators like normal fractions:</span>
=[(4x+2)-(3x+1)]/(x+5)
=[(4x+2-3x-1)]/(x+5)
=[(x+1)]/(x+5)

the answer is
(x+1)/(x+5)
4 0
3 years ago
Read 2 more answers
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