The function h is defined as h (x) = 5x² – 3.
Find h(x+1).

h(x + 1) = 5x² + 10x + 2

Step-by-step explanation:

Step 1: Write out function

h(x) = 5x² - 3

Step 2: Plug in x + 1 for x

h(x + 1) = 5(x + 1)² - 3

Step 3: Expand

h(x + 1) = 5(x² + 2x + 1) - 3

Step 4: Distribute

h(x + 1) = 5x² + 10x + 5 - 3

Step 5: Combine like terms

h(x + 1) = 5x² + 10x + 2

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !