Given $h(x)=4x+3$, find $h(4)$.
Answer (2)
Substitute x = 4 into the function h ( x ) = 4 x + 3 .
Calculate 4 × 4 = 16 .
Add 3 to the result: 16 + 3 = 19 .
The final answer is 19 .
Explanation
Understanding the problem We are given the function h ( x ) = 4 x + 3 , and we want to find the value of h ( 4 ) . This means we need to substitute x = 4 into the expression for h ( x ) .
Substituting x=4 To find h ( 4 ) , we replace x with 4 in the expression 4 x + 3 . So we have: h ( 4 ) = 4 ( 4 ) + 3
Calculating h(4) Now we perform the multiplication and addition: h ( 4 ) = 16 + 3 h ( 4 ) = 19
Final Answer Therefore, the value of h ( 4 ) is 19.
Examples
Imagine you are calculating the total cost of attending a concert. The ticket costs $3, and there is a surcharge of 4 p er p erso n f or t r an s p or t a t i o n . I f yo u a re g o in g w i t h 4 f r i e n d s , t h e t o t a l cos t c anb ere p rese n t e d b y t h e f u n c t i o n h(x) = 4x + 3 , w h ere x i s t h e n u mb ero ff r i e n d s . S o , t h e t o t a l cos t f or 4 f r i e n d s w o u l d b e h(4) = 4(4) + 3 = 19$ dollars. This shows how evaluating a function at a specific point can help in real-life cost calculations.
To find h ( 4 ) for the function h ( x ) = 4 x + 3 , we substitute 4 for x , which gives us h ( 4 ) = 16 + 3 = 19 . Therefore, the result is 19 .
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