Question

If f (x) = 4x2 + 3x − 5, then the quantity f of the quantity x plus h end quantity minus f of x end quantity all over h is equal to which of the following? a 4 times the quantity x plus h end quantity squared plus 3 times the quantity x plus h end quantity minus 5 minus 4 times x squared plus 3 times x minus 5 all over h b 4 times the quantity x squared plus 2 times x times h plus h squared end quantity plus 3 times the quantity x plus h end quantity minus 5 minus the quantity 4 times x squared plus 3 times x minus 5 end quantity all over h c the quantity 4 times x plus 4 times h end quantity squared plus the quantity 3 times x plus 3 times h end quantity minus 5 minus the quantity 4 times x squared plus 3 times x minus 5 end quantity all over h d 4 times the quantity x plus h end quantity squared plus 3 times x minus 5 minus 4 times x squared minus 3 times x plus 5 all over h

Answer 1

To find the quantity f(x + h) - f(x) all over h, substitute the given function into the expression and simplify.

Step-by-step explanation:

To find the quantity f(x + h) - f(x) all over h, we substitute the given function into the expression:

f(x + h) = 4(x + h)² + 3(x + h) - 5

f(x) = 4x² + 3x - 5

Substituting these values into the expression f(x + h) - f(x) all over h, we simplify:

4(x + h)² + 3(x + h) - 5 - (4x² + 3x - 5) all over h

Simplifying further will give you the answer.