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grigory [225]
3 years ago
5

Equation parallel to y = 3x + 2 and passing through (1, 1)

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

y = 3x - 2

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 = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, then

y = 3x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = 3x - 2 ← equation of line

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Answer:

See explanation

Step-by-step explanation:

You are given the function f(x)=3x-1

The domain of the function are all possible values of variable x, so you can find f(x) for x=-2, 0, 3, 5:

f(-2)=3\cdot (-2)-1=-6-1=-7\\ \\f(0)=3\cdot 0-1=0-1=-1\\ \\f(3)=3\cdot 3-1=9-1=8\\ \\f(5)=3\cdot 5-1=15-1=14

The table is

\begin{array}{cc}x&f(x)\\-2&-7\\0&-1\\3&8\\5&14\end{array}

The inverse function f^{-1}(x) has the domain which is the range of the function f(x) (all possible values of f(x)), so the domain of inverse function is {-7,-1,8,14}

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