Question

Find the value of f (x+h)-f(x),h≠0 foor the following function
1.) f(x)=3x+4
2.) g(x)=x²+3

Please help me po​

Answer 1

SOLUTION :-

TO DETERMINE :-

The value of f (x+h)-f(x) , h ≠ 0 for the following function

1) f(x) = 3x + 4

EVALUATION :-

Here the given function is

$\sf{f(x) = 3x + 4} \: \: ......(1)$

Putting x + h is place of x in both sides of Equation (1) we get

$\sf{f(x + h) } \:$

$= \sf{ 3(x + h)+ 4} \:$

$= \sf{ 3x +3 h+ 4} \:$

$\therefore \: \: \sf{f(x + h) = 3x +3 h+ 4} \:$

Therefore

$\sf{f(x + h) - f(x)} \:$

$\sf{= (3x +3 h+ 4) - (3x + 4)} \:$

$\sf{= 3x +3 h+ 4- 3x - 4} \:$

$\sf{= 3h}$

FINAL ANSWER :-

$\boxed{\sf{ \: \: f(x + h) - f(x)} \: = 3h \: \: }$

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