Question

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

Answer 1

`\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 ❞