If `f(x)=5x^2 -3` and `f(x+a)=5x^2 + 30x + 42`, what is the value of a ?

For the function f(x)=5x^2-7x , what is the value of f(-3) ?

If f (x) =2x ^(2) -5x +7, what is the value of f (8) -f (3) ?

If f(x + 2) = 2x^2 + 5x + 7 , then the value of f(1)

If f is a linear function and f(-2)=11,f(5)=-2, and f(x)=4.3 , what is the value of x?

f(x)=(x-k)/(5) and g(x)=5x+7 . If f(g(x))=g(f(x)) , what is the value of k?

If f(x) = x^(2) - 5x -36 and g(x) = x^(2) + 9x + 20, then for what values of x is 2f(x) = 3g(x) ?

(i) If f(x) = 3x^(4)- 5x^(2) + 7, " find " f(x-1) (ii) If f(x) = x^(2) - 3x + 4 , then find the values of x satisfying f(x) = f(2x+1)

If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then what is the value of f '(5)?