Mathematics: Answer and maybe an explanation. in advance.

First write the given equation SimplifyInterchange sidesExplore more:-Formulas of exponents:-...

Answer and maybe an explanation. in advance.

Ответ:

bskyeb14579

06.01.2022

Inverses

solve for x
replace x with f inverse
replace y with x

so
first minus 2 both sides
y-2=√(2x-3)
square both sides
y^2-4y+4=2x-3
add 3 to both sides
y^2-4y+7=2x
divide both sides y 2
(y^2-4y+7)/2=x

x turns to f inverse and y turns to x

f(x)⁻¹= $\frac{x^{2}-4x+7}{2}$

looks like they didn't want to expand the binomial

y= $\frac{(x-2)^{2}}+3}{2}$
answer si A

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Ответ:

josie311251

05.10.2020

Mathematics

First write the given equation

${:}\xrightarrow{ }\tt x^3×x^?=x^17$

Simplify

${:}\longrightarrow\tt x^{(3+?)}=x^17$

${:}\longrightarrow\tt 3+?=17$

Interchange sides

${:}\longrightarrow\tt ?=17-3$

${:}\longrightarrow\tt ?=14$

Explore more:-Formulas of exponents:-

$\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}$

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