Question

If 5 is an element in the domain of f(x)= 8x-21/5, what is the corresponding element in the range?

Answer 1

Answer:

The corresponding element in the range when 5 is an element  in the domain is $f(5)=\frac{179}{5}$

Step-by-step explanation:

Given that the 5 is an element in the domain of f(x)

The function f is defined by $f(x)=8x-\frac{21}{5}$

To find the corresponding element in the range:

That is put x=5 in the given function f(x)

Therfore f(x) becomes

$f(5)=8(5)-\frac{21}{5}$

$=40-\frac{21}{5}$

$=\frac{200-21}{5}$

$f(5)=\frac{179}{5}$

Therefore corresponding element in the range when 5 is an element  in the domain is $f(5)=\frac{179}{5}$