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2 years ago

AeA Man travels distance84km in Ihr 20mins. FindHis speed average find-

Mathematics

1 answer:

Tasya [4]2 years ago

6 0

Answer:

1.05km/min

Step-by-step explanation:

$Distance = 84 km\\\\Time = 1hr 20 min= 80minuttes\\\\Average \: Speed = \frac{Distance}{Time} \\\\A.S =\frac{84}{80} \\\\A.S = 1.05km/min$

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The inverse of the logarithmic function f(x) = log0. 5x is f−1(x) = 0. 5x. What values of a, b, and c complete the table for the

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The value of a, b and c can be calculated using the inverse function.

The calculated the value of a= 2, b=1 and c= -2.

Given:

The function is $f(x)=\log_{0.5}x$ and its inverse is $f^{-1}(x)=0.5^x$ .

<h3>What is an inverse function?</h3>

The inverse function of a function is defined if $f$ is a function that undoes the operation of $f$ .

The inverse of $f$ exists if and only if $f$ is bijective, and if it exists, is denoted by $f^{-1}$ .

Substitute the value of x= -1 in a given inverse function and calculate the value of a.

$f^{-1}(x)=0.5^x\\
f^{-1}(-1)=0.5^{-1}\\
f^{-1}(-1)=2$

Substitute the value of x is 0 in given inverse function.

$f^{-1}(x)=0.5^x\\
f^{-1}(0)=0.5^0\\
f^{-1}(0)=1$

Substitute the value of x is 2 in given inverse function.

$f^{-1}(x)=0.5^x\\f^{-1}(2)=0.5^2\\f^{-1}(2)=-2$

Therefore, the value of a= 2, b=1 and c=-2.

Learn more about inverse function here:

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1 year ago

AeA Man travels distance84km in Ihr 20mins. FindHis speed average find-​

AeA Man travels distance84km in Ihr 20mins. FindHis speed average find-