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Setler79 [48]
3 years ago
13

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

f(x) = 2x + 5

f(x) = 2x + 5 and three halves doesn't sound correct.

So, I will take f(x) as

f(x) = 2x + 5

Next, solve for the inverse function

Replace f(x) with y

y = 2x + 5

Swap x and y

x = 2y + 5

Make 2y the subject

2y = x-5

Make y the subject

y = \frac{x-5}{2}

Replace y with the inverse sign

f^{-1}(x) = \frac{x-5}{2}

So, now we can calculate any value from the original function and from the inverse function.

For instance:

f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1

f(1) = 2*1 + 5 = 2+5=7

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Answer:

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Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format y = mx + b.

Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept or the point at which the line cuts the y-axis.

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slope (m) = \frac{40 - 16}{3 - 0}

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Substitute y = 112 in the equation

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