What are the domain and range of the function f(x) = 4(RootIndex 3 StartRoot 81 EndRoot) Superscript x? {x| x is a real number}; {y| y > 0} {x| x > 4}; {y| y > 0} {x| x is a real number}; {y| y > 4} {x| x > 4}; {y| y > 4}

Given:

The function is

To find:

The domain and range of the given function.

Solution:

Domain is the set of input values.

Range is the set of output values.

We have,

It is an exponential growth function, where the initial value is 4 and the growth factor is .

We know that the exponential function is defined for all real values of x. so,

Domain = { x | x is a real number}

In the given function 4>0 and for all real values of x. So,

Range = {y | y > 0}

Therefore, the correct option is A.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

x= 149. 24+7=31. 180-31=149

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