Question

let f:R->R be the function defined by f(x)=1/2-cosx xbelongs to R . then find the range of f​

Answer 1

$\huge \sf\underline\color{blue}{Given}\dag$

let f:R->R be the function defined by f(x)=1/2-cosx xbelongs to R . then find the range of f

$\huge \sf\underline\color{blue}{Solution}\dag$

ᴡᴇ ʜᴀᴠᴇ ғ:ʀ→ʀ,ғ(x)=ᴄᴏsx

ʟᴇᴛ ғ(x

)=ғ(x

)

⇒ᴄᴏsx

=ᴄᴏsx

⇒x

=ɴπ±x

,ɴ∈ᴢ

ᴀʙᴏᴠᴇ ᴇǫᴜᴀᴛɪᴏɴ ʜᴀs ɪɴғɪɴɪᴛᴇ sᴏʟᴜᴛɪᴏɴs ғᴏʀ x

ᴀɴᴅ x

.

ᴛʜᴜs ғ(x) ɪs ᴍᴀɴʏ ᴏɴᴇ ғᴜɴᴄᴛɪᴏɴ

ᴀʟsᴏ ʀᴀɴɢᴇ ᴏғ ᴄᴏsx ɪs [−,], ᴡʜɪᴄʜ ɪs sᴜʙsᴇᴛ ɪs ɢɪᴠᴇɴ ᴄᴏ-ᴅᴏᴍᴀɪɴ ʀ.

ʜᴇɴᴄᴇ ғᴜɴᴄᴛɪᴏɴ ɪs ɴᴏᴛ ᴏɴᴛᴏ.

Answer 2

please leave from brainly u r doing unessary things idiot