Answer:
The corresponding element in the range when 5 is an element in the domain is [tex]f(5)=\frac{179}{5}[/tex]
Step-by-step explanation:
Given that the 5 is an element in the domain of f(x)
The function f is defined by [tex]f(x)=8x-\frac{21}{5}[/tex]
To find the corresponding element in the range:
That is put x=5 in the given function f(x)
Therfore f(x) becomes
[tex]f(5)=8(5)-\frac{21}{5}[/tex]
[tex]=40-\frac{21}{5}[/tex]
[tex]=\frac{200-21}{5}[/tex]
[tex]f(5)=\frac{179}{5}[/tex]
Therefore corresponding element in the range when 5 is an element in the domain is [tex]f(5)=\frac{179}{5}[/tex]
