3 years ago

Help me with number 4 and 5

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

24 and -5 are the answers

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If f(x) = 5x − 3, which expression represents its inverse function?

tangare [24]

Answer:

$f ^{-1}(x)=\frac{x+3}{5}$

Step-by-step explanation:

To find the inverse of a function f (x) follow the steps below:

1) Make y = f (x)

$y= 5x - 3$

2) Solve for the variable x

$y+3= 5x - 3+3$

$y+3= 5x$

$x=\frac{y+3}{5}$

3) Exchange the variable x with the variable y

$y=\frac{x+3}{5}$

4) Make $y = f ^{-1}(x)$

$f ^{-1}(x)=\frac{x+3}{5}$

Finally, the inverse of the function f (x) is: $f ^{-1}(x)=\frac{x+3}{5}$

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All the members of a construction crew work at the same pace. Four members of the crew, working together, are able to pour found

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If f(x)=4x^2+1 and g(x)=x^2-5 find (f-g)(x)

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Answer:

Answer: 5x² - 4

Step-by-step explanation:

f(x) = 4x² + 1

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(f + g)(x) = 4x² + 1 + x² - 5

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