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3 years ago

Please help me in this question. Am new to this chapter.

Mathematics

1 answer:

jekas [21]3 years ago

3 0

Answer:

angle ACB = 65° (alternate angle)

angle BAC = 50°

angle AEF

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Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

8 0

3 years ago

Equivalent expressions to -90x+60

melomori [17]

60+-90x would be equivalent.

4 0

3 years ago

(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!

kvv77 [185]

Answer:

Answer: Third option is the right answer.

Step-by-step explanation:

First we the write the expression

$(a+b)(a^{2}+b^{2}-ab)$

Now teacher says that the product of these polynomials will result in the sum of $a^{3}+b^{3}$

Now the teacher ask if we put the value of a = 2x and b = 1 then what will be the expression look like.

$(2x+1)\left [ (2x)^{2}+(1^{2})-(2x)(1)\right ]$

= $(2x+1)(4x^{2}+1-2x)$

So third option is looking like our expression.

3 0

2 years ago

What is the answer to the following <br>-1+8=

GenaCL600 [577]

Answer:

Step-by-step explanation:

-1+8=7

8 0

2 years ago

Read 2 more answers

Oblicz ułamki 2/8=.../4

Marina86 [1]

Answer:

Step-by-step explanation:

7 0

3 years ago