3 years ago

Help me please with this question I’m lost

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

A-obtuse
b-acute
a+b-180 degrees

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krok68 [10]

From the given inverse function, we have

$f^{-1}(x-1) = 2x - \dfrac52 \\\\ \implies f^{-1}(x) = f^{-1}((x+1)-1) = 2(x+1) - \dfrac52 = 2x-\dfrac12$

By definition of inverse function,

$f\left(f^{-1}(x)\right) = x$

so that

$f\left(2x-\dfrac12\right) = x$

$a\left(2x-\dfrac12\right) + \dfrac b2 = x$

$2ax - \dfrac a2 + \dfrac b2 = x$

$\implies\begin{cases}2a=1 \\\\ -\dfrac a2+\dfrac b2 = 0\end{cases}$

$\implies \boxed{a=\dfrac12}$

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Step-by-step explanation:

if plug in 3 for x and you can see the line crosses at 1 on the y axis.

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