Question

(4A+3B)(-1) Solve. A(x)=|2x-3|. B(x)= x+3 if x<=-1, x^2 if -1 12 years ago

Answer 1

Wait what are trying to find? @Bladerunner1122

Answer 2

I assume that A can just be substituted in, but what about B(x) since I don't actually have an x given to me. I'm told to simplify and evaluate.

Answer 3

@Bladerunner1122 The thing is that I don't know what you're trying to solve for or find.

Answer 4

Like what's the (4A + 3B)(-1) supposed to denote?

Answer 5

@Bladerunner1122 hello?

Answer 6

A and B are the functions

Answer 7

It says using the definitions of the fuctions, simplify or evaluate (4A+3B)(-1).

Answer 8

@genius12

Answer 9

@mathessentials

Answer 10

\(\bf \textit{let us first, do}\quad (4A+3B)\\
A(x) = |2x-3|\qquad \qquad B(x)= x+3\\
4A\implies 4|2x-3|\qquad \qquad 3B\implies 3(x+3)\\ \quad \\
(4A+3B)\implies 4|2x-3|\quad +\quad 3(x+3)\\ \quad \\
(4A+3B)(-1) = 4|2(-1)-3|\quad +\quad 3((-1)+3)\implies -28+6= -22\\ \quad \\
\textit{so now we can say that}\\ \quad \\
f(x)\implies
\begin{cases}
-22 & x\le 1\\ \quad \\
\bf x^2& -1<x<2\\ \quad \\
\bf 5 & x=2
\end{cases}\)

Answer 11

anyhow, got a bit truncated... but surely -28+6= -22 :)