Answer:
Option c) is correct
ie., c=4 represents the value of c suchthat function [tex]f(c)=28[/tex]
Step-by-step explanation:
Given function f is defined by [tex]f(x)=2x^{2}-4[/tex]
To find the value of "c" such that [tex]f(c)=28[/tex]
Therefore put x=c in the given function as
[tex]f(x)=2x^{2}-4[/tex]
[tex]f(c)=2c^{2}-4[/tex]
and we have [tex]f(c)=28[/tex]
Now equating the two functions
[tex]f(c)=2c^{2}-4=28[/tex]
[tex]2c^{2}-4=28[/tex]
[tex]2c^{2}=28+4[/tex]
[tex]c^{2}=\frac{32}{2}[/tex]
[tex]c^{2}=16[/tex]
[tex]c=4[/tex]
Therefore [tex]c=4[/tex]
Option c) is correct
ie., c=4 represents the value of c suchthat function [tex]f(c)=28[/tex]
