Given F(x)=1/x-4, g(x)=1/6-x. Find f+g(x).

Mathematics

1 answer:

Yakvenalex [24]3 years ago

3 0

$\boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}$

<h2>Explanation:</h2>

We are given two functions:

$f(x)=\frac{1}{4}x-4 \\ \\ g(x)=\frac{1}{6}-x$

So, we have to find $f(x)+g(x)$ which is the sum of these two functions:

$f(x)+g(x)=\frac{1}{x}-4+\frac{1}{6}-x \\ \\ \\ Let's \ call \ h(x)=f(x)+g(x) \\ \\ Simplifying: \\ \\ h(x)=\left(\frac{1}{x}-x)+(-4+\frac{1}{6}) \\ \\ \\ \\$

$Finally: \\ \\ \boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}$

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr

Scorpion4ik [409]

So, coordinates of QRST will be:

Q(2,−1),R(3,−4),S(5,−3),T(4,0)

Option D is correct.

Step-by-step explanation:

The vertices of given parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0).

ABCD is reflected over the x-axis to create parallelogram QRST

We need to find coordinates of QRST.

When the graph is reflected across x-axis, the x-coordinate remains the same, while y-coordinate becomes opposite i.e the sign is changed of the given coordinate.

So, coordinates of QRST will be:

Q(2,−1),R(3,−4),S(5,−3),T(4,0)

All the y-coordinates have been converted to their opposite signs

So, Option D is correct.

Keywords: Reflection across x-axis

Learn more about reflection across x-axis at:

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5 0

3 years ago