If f(x) = (x-4) (x+3) , determine the x-intercept of each function

Question

a)y=f(x) b) y=-2f(x) c) y=(-(x+1))

thanks for the help !!!!!!

Answer 1

(a)
The x-intercept would be the zeroes of the function, that is the values of x such that:
f(x) = (x-4) (x+3) = 0
For this to happen, (x-4)=0 or (x+3)=0 giving x=4 or x=-3.

(b)
Multiplying f(x) by -2 does not change the values of the zeroes.

(c)
Equate the function expression to zero and solve for x, i.e. the value of x which makes the function (expression) = 0.