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2 years ago

What is the inverse of the function f(x) = 2x - 10?

Mathematics

1 answer:

Oxana [17]2 years ago

3 0

Answer:

h(x) = 1/2x + 5

Step-by-step explanation:

Switch the positions of the x and y (f(x)) and solve for y (f(x)).

f(x) = 2x - 10

x = 2y - 10

x + 10 = 2y

(x + 10)/2 = y

1/2x + 5 = y

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-4+5|4x-4|=21 solve for x

grin007 [14]

Answer:

Step-by-step explanation:

hello :

-4+5|4x-4|=21

add 4 : 5|4x-4| = 25

divid by 5 : |4x-4| = 5 means : 4x-4 = 5 or 4x-4 = - 5

4x=9 or 4x =-1

x= 9/4 or x = - 1/4

5 0

2 years ago

If f(x)=x-1/x g(x)=x-1 and h(x)=x+1 what is (g•h•f)(x)

eimsori [14]

Answer:

( f o f )(x) = f ( f (x))

= f (2x + 3)

= 2( ) + 3 ... setting up to insert the input

= 2(2x + 3) + 3

= 4x + 6 + 3

= 4x + 9Step-by-step

explanation:

8 0

3 years ago

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Pick any Martin Luther king speech 2-4 minutes and pick a inspirational reason why you picked that speech

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Answer:

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2 years ago

Simplify the complex fraction.

lilavasa [31]

Given:

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}$

To find:

The simplified fraction.

Solution:

Step 1: Simplify the numerator

$$\frac{(4 r)^{3}}{15 t^{4}}=\frac{4^3 r^{3}}{15 t^{4}}=\frac{64 r^{3}}{15 t^{4}}$

Step 2: Simplify the denominator

$$\frac{16 r}{(3 t)^{2}}=\frac{16 r}{3^2 t^{2}}= \frac{16 r}{9 t^{2}}$

Step 3: Using step 1 and step 2

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}} \right)}$

Step 4: Using fraction rule:

$$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}$

$$\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}}\right)}=\frac{64r^3 \cdot 9t^2}{16 r \cdot 15 t^4}$

Cancel the common factor r and t², we get

$$=\frac{64 r^{2} \cdot 9 }{16 \cdot 15 t^2 }$

Cancel the common factors 16 and 3 on both numerator and denominator.

$$=\frac{4 r^{2} \cdot 3 }{ 5 t^2 }$

$$=\frac{12 r^{2} }{ 5 t^2 }$

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{12 r^{2} }{ 5 t^2 }$

The simplified fraction is $\frac{12 r^{2} }{ 5 t^2 }$ .

5 0

3 years ago

An individual has 3 different email accounts. Most of her messages, in fact 60% come into account #1, whereas 30%come into accou

laila [671]

Answer:

the probability is 0.02 (2%)

Step-by-step explanation:

defining the event S= the message is spam , then the probability is

P(S) = probability that a randomly selected message comes from account #1 * probability that the message is spam given that the message is from account #1 + probability that a randomly selected message comes from account #2 * probability that the message is spam given that the message is from account #2 + probability that a randomly selected message comes from account #3 * probability that the message is spam given that the message is from account #3 = 0.6 * 0.01 + 0.3 * 0.03 + 0.1 * 0.05 = 0.02 (2%)

thus the probability is 0.02 (2%)

7 0

3 years ago