Question

f(x)=2x+3/4x+5
find f(-9)
​

Answer 1

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

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

$f(x) = \frac{2x + 3}{4x + 5}$

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

$↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}$

$↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5}$

$↬ f(-9) = \frac{ - 15}{ - 31}$

$↬ f(-9)= \frac{15}{31}$

$↬f(-9)= 0.48$

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

Answer 2

$\huge\textsf{Hey there!}$

$\mathsf{f(x) = \dfrac{2x + 3}{4x + 5}}$

$\mathsf{y = \dfrac{ 2x + 3}{4x + 5}}$

$\mathsf{y = \dfrac{2(-9) + 3}{4(-9) + 5}}$

$\mathsf{2(-9)}$

$\mathsf{\bf = -18}$

$\mathsf{y = \dfrac{-18 + 3} {4(-9) + 5}}$

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

$\mathsf{y = \dfrac{ -15} {4(-9) + 5}}$

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

$\mathsf{y = \dfrac{-15}{-36 + 5}}$

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

$\mathsf{y = \dfrac{-15}{ -31}\rightarrow\boxed{\bf \dfrac{15}{31}}}$

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

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$