If f(x) = 5x, what is f–1(x)?

Mathematics

2 answers:

kumpel [21]3 years ago

5 0

F(x) = 5x. What is the value of f(-1).

You just plug (-1) in x

f(-1) = 5(-1)

f(-1) = -5

yulyashka [42]3 years ago

4 0

Keep in mind that an inverse function is simply the reversal of the x and y coordinates of the parent function. For every (x,y) of the parent function, the inverse function has a point (y,x). With the conceptual part out of the way, finding the inverse function is relatively straight forward. If:

y=5x then the inverse function will be what you have when you solve for x and then reverse the variable labels...ie.

y=5x so

x=y/5 now reverse the variable labels...

y=x/5 this is the inverse function of y=5x or as your problem notation stated:

f^-1(x)=x/5

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Which value is equivalent to [(7x3x2)/(7x5)]^2 x [(7^0)x(5^-3)]^3 x 5^-9?

kaheart [24]

Answer: 36/25

Step-by-step explanation:

[(7x3x2)/(7x5)]^2 x [(7^0)x(5^-3)]^3 x 5^-9

= [(7x3x2)/(7x5)]^2 x [(7^0)x(5^3)]^3 x 5^-9

= [(7x3x2)/(7x5)]^2 x [1 x(5^3)]^3 x 5^-9

= [(7x3x2)/(7x5)]^2 x 5^9 x 5^-9

= [(7x3x2)/(7x5)]^2 x 5^0

= [(7x3x2)/(7x5)]^2 x 1

= [(7x3x2)/(7x5)]^2

= [(3x2)/(5)]^2

= [(6)/(5)]^2

= 36/25

Hope it helps.

Thank you !!

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