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3 years ago

Determine whether f(x)=5x+1/x and g(x)= x/5x+1 are inverse functions. Explain how you know.

Mathematics

2 answers:

lakkis [162]3 years ago

7 0

@Tarynalycee

Did you finish the Precal test yet? If you did, may you be so kind as to let me know of the answers? I am so desperate and I saw your questions as a sign of help.

vladimir1956 [14]3 years ago

4 0

A property of inverse functions is that if f(x) = a, g(a) = x

F(x) = (5x+1)/x
G(x) = x/(5x+1)

Plug in x = 3.
F(3) = 16/3
G(16/3) = 16/83. Since it doesn’t equal 3, it’s not an inverse function

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3 years ago

Read 2 more answers

What is the measure of the angles?

statuscvo [17]

Answer:

The angle is 35

Step-by-step explanation:

The angles are vertical angles, so they are equal

3x-4 = 2x+9

Subtract 2x from each side

3x-2x-4 = 2x+9-2x

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x-4+4 = 9+4

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3 years ago

The equation for line j can be written as y=2x + 8. Another like k is perpendicular to line j and passes through the point (6,-6

Semmy [17]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 8 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$ , thus

y = - $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (6, - 6) into the partial equation

- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3

y = - $\frac{1}{2}$ x - 3 ← equation of line k

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3 years ago