Question

F(x)=2x+3/4x+5
find f(-9)
​

Answer 1

`\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}`

`\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}`

`f(x) = (2x + 3)/(4x + 5) \\`

For
`f(-9)`, put "
`-9`" for every value of "
`x`".

`↬f( - 9) = (2( - 9) + 3)/(4( - 9) + 5)\\`

`↬ f(-9) = ( - 18 + 3)/( - 36 + 5) \\`

`↬ f(-9) = ( - 15)/( - 31)\\`

`↬ f(-9)= (15)/(31)\\`

`↬f(-9)= 0.48\\`

`\bold{ \green{ \star{ \red{Mystique35}}}}⋆`

Answer 2

`\huge\textsf{Hey there!}`

`\mathsf{f(x) = (2x + 3)/(4x + 5)}`

`\mathsf{y = ( 2x + 3)/(4x + 5)}`

`\mathsf{y = (2(-9) + 3)/(4(-9) + 5)}`

`\mathsf{2(-9)}`

`\mathsf{\bf = -18}`

`\mathsf{y = \frac{-18 + 3} {4(-9) + 5}}`

`\mathsf{-18 + 3}\\\mathsf{= \bf -15}`

`\mathsf{y = \frac{ -15} {4(-9) + 5}}`

`\mathsf{4(-9)}\\\mathsf{\bf = -36}`

`\mathsf{y = (-15)/(-36 + 5)}`

`\mathsf{-36 + 5}\\\mathsf{= \bf-31}`

`\mathsf{y = (-15)/( -31)\rightarrow\boxed{\bf (15)/(31)}}`

`\boxed{\boxed{\huge\text{Answer: } \boxed{\bf f(-9) = (15)/(31)}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`