Question

evaluate the function. put your answer in function notation.
find ( h(7) ) if ( h(x) = 4x^2 + 8x - 5 )

Explanation:

Step1: Substitute \( x = 7 \) into the function \( h(x) \)

We have \( h(x)=4x^{2}+8x - 5 \), so when \( x = 7 \), we substitute \( x \) with \( 7 \) in the function: \( h(7)=4\times(7)^{2}+8\times7 - 5 \)

Step2: Calculate the power term

First, calculate \( (7)^{2}=49 \), then \( 4\times49 = 196 \)

Step3: Calculate the linear term

Next, calculate \( 8\times7=56 \)

Step4: Combine all terms

Now, substitute the results back into the expression: \( h(7)=196 + 56-5 \)

Step5: Perform the arithmetic operations

First, \( 196+56 = 252 \), then \( 252-5=247 \)

Answer:

\( h(7)=247 \)