Answer:
[tex]\dfrac{1}{4c+5}.[/tex]
Step-by-step explanation:
The multiplicative inverse of a fraction [tex]\dfrac{a}{b}[/tex] is fraction [tex]\dfrac{b}{a}.[/tex] For the multiplicative inverse of a real number, divide 1 by the number.
In your case, if [tex]4c+5\neq 0[/tex] and c is a real number, the multiple inverse of 4c+5 is
[tex]\dfrac{1}{4c+5}.[/tex]
It s correctly defined, because the denominator of the fraction never turns into 0.
