If f (x) = 5 x 2 – 4x + 5, find the value of f (1) + f (–1) .
Answers
Answer. ATQ, f(1)+f(-1)+f(0)=6+14+5=25.
Step-by-step explanation:
I hope it helps you
Given
We have given f(x)= 5x²-4x+5
To Find
We have to find f(1)+f(-1)
Note : Any change in f(x) will cause a change in the function.
Now ,our function is f(x) and we have to find f(1) +f(-1) now compare the coefficient of f(x) with f(1 ) and f(-1) we find x=1 and x= -1
So,we have to find the value of f(x) at x=1 ,-1
at x= 1
=>f(x)= 5x²-4x+5
=>f(1)= 5(1)²-4(1)+5
=>f(1)=5-4+5
=>f(1)= 1+5=6
Therefore ,f(1) is 6
At x= -1
f(x)= 5x²-4x+5
f(-1)= 5(-1)²-4(-1)+5
f(-1)=5+4+5
f(-1)= 14
therefore, f(-1) is 14
Now,we have to find f(1)+f(-1)
f(1)+f(-1)= 6+14=20
Extra information=>
➥The above function is a quadratic equation as highest power is 2.
➥f(x)=y here ,f is the function and x is an input which gives output say 'y'.
➥We can find infinite number of output of f(x) by putting infinite number of values into f(x).