Find the inverse function in slope-intercept form f(x)=x-5

Question

asked Oct 18, 2023 29.2k views

1 Answer

Maow · Answer 1 · 2023-10-25T04:16:14+0000

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:f{}^(-1)(x) = x +5$

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$\large \tt Solution \: :$

We need to find the inverse of given function; f(x) = x - 5

$\qquad \tt \rightarrow \: y = x - 5$

here, write x in terms of y.

$\qquad \tt \rightarrow \: x = y + 5$

replace x with
${\tt{{f}^(-1) (x)} }$ and y with x, you will get your required inverse function.

$\qquad \tt \rightarrow \: f {}^( - 1) (x) = x + 5$

And it's already in slope intercept form

$\qquad \tt \rightarrow \: y = mx + c$

where, slope (m) = 1 and y intercept (c) = 5

Answered by : ❝ AǫᴜᴀWɪᴢ ❞