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Need to find f(x+1) the function f is defined by f(x)

Need To Find Fx1 The Function F Is Defined By Fx class=

Sagot :

The given function is

[tex]f(x)=\frac{x+7}{3x+4}[/tex]

To find f(x + 1), substitute x in f by (x + 1)

[tex]f(x+1)=\frac{(x+1)+7}{3(x+1)+4}[/tex]

Simplify it

[tex]\begin{gathered} f(x+1)=\frac{x+1+7}{3x+3+4} \\ \\ f(x+1)=\frac{x+8}{3x+7} \end{gathered}[/tex]

The answer is

[tex]f(x+1)=\frac{x+8}{3x+7}[/tex]