1) The Function S is given by the equation S(x)=4x-1 Find S(x+h)-S(x)/h for h ca

Question

1) The Function S is given by the equation S(x)=4x-1

Find S(x+h)-S(x)/h for h cannot equal 0

2) The function H is given by the equation H(x)= x^2-2x

Find H(x+h)-H(x)/ h for h cannot equal 0

3) The function H is given by the equation H(X)= 2x^2-3x

Find H(x+h)-H(x)/h for h cannot be 0

4) The function H is given by the equation H(x)= -x^2 + 4x

Find H(x+H)-H(x)/h for h cannot be 0

I have taken a long break from math and having a hard time remembering. I'll appreciate step by step solution =) .

Thank YOU

Explanation / Answer

1) given S(x)=4x-1

put x+h in place of x

S(x+h)=4(x+h)-1

S(x+h)=4x+4h-1

subtract s(x) from s(x+h)

[S(x+h)-S(x)]=[4x+4h-1-4x+1]

[S(x+h)-S(x)]=4h

divide by h on both sides

[S(x+h)-S(x)]/h=4h/h

[S(x+h)-S(x)]/h=4

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