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3 years ago

If f(x) = 5x – 3 and g(x) = 3x – 3, find f(x) – g(x). Please include full explanation

Mathematics

2 answers:

Iteru [2.4K]3 years ago

4 0

Answer:

f(x) - g(x) = 2x

Step-by-step explanation:

We have given two functions.

f(x) = 5x-3 and g(x) = 3x-3

We have to find their difference.

f(x)-g(x) = ?

Putting given values, we have

f(x) - g(x) =( 5x-3) - (3x-3)

Distribute negative sign over second parentheses,

f(x) - g(x) = 5x-3 -(3x)-(-3)

f(x) - g(x) = 5x-3-3x+3

f(x) - g(x) = 5x-3x-3+3

Adding like terms, we have

f(x) - g(x) = 2x+0

f(x) - g(x) = 2x which is the answer.

Kisachek [45]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) – g(x)

f(x) = 5x – 3 and g(x) = 3x – 3

f(x)- g(x) = 5x – 3 -( 3x – 3)

Distribute the minus sign

5x -3 -3x+3

Combine like terms

5x-3x-3+3

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Answer:

$y=-2x+1$

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Step-by-step explanation:

$y = e^{-2x}$

to find the tangent line we need to find the curve's derivative. using $\dfrac{d}{dx}e^{ax} = ae^{ax}$ , we'll find dy/dx.

$\dfrac{dy}{dx} = -2e^{-2x}$

^ this is the equation of the slope of the curve. By finding the slope of the curve at (0,1) we'll also be finding the slope of the tangent to the curve at (0,1).

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