Consider the table of values for h of x is equal to f of x plus g of x x f of x g of x h of x is equal to f of x plus g of x 1 3 and 1 half 1 2 4 1 fourth 3 4 and 1 half 1 ninth 4 5 1 over 16 Which values complete the table for h of x ?
Answer
A
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x plus g of x' Row 2: Column 1, '5 and 1 half' Row 3: Column 1, '6 and 1 fourth' Row 4: Column 1, '7 and 11 over 18' Row 5: Column 1, '9 and 1 over 16'
B
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x plus g of x' Row 2: Column 1, '3 and 1 half' Row 3: Column 1, '2' Row 4: Column 1, '1 and 1 half' Row 5: Column 1, '1 and 1 fourth'
C
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x plus g of x' Row 2: Column 1, '3 and 1 half' Row 3: Column 1, '1' Row 4: Column 1, '1 half' Row 5: Column 1, '5 over 16'
D
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x plus g of x' Row 2: Column 1, '4 and 1 half' Row 3: Column 1, '4 and 1 fourth' Row 4: Column 1, '4 and 11 over 18' Row 5: Column 1, '5 and 1 over 16'
Explanation
Since h(x) = f(x) + g(x), add the two function values in each row: 3 1/2 + 1 = 4 1/2; 4 + 1/4 = 4 1/4; 4 1/2 + 1/9 = 4 11/18; and 5 + 1/16 = 5 1/16. These values match the table in choice D.
AI-written and checked against the verified answer.