Home
Class 12
MATHS
The function f and g are defined as f(x ...

The function f and g are defined as `f(x , y) = 2x + y and g(x,y) = x + 2y`. What is the value of `f(3,4)` ?

A

`f(4,3)`

B

`f(3,7)`

C

`f(7,4)`

D

`g(4,3)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \( f(3, 4) \) given the function \( f(x, y) = 2x + y \), we will follow these steps: ### Step-by-Step Solution: 1. **Identify the function**: We know that \( f(x, y) = 2x + y \). 2. **Substitute the values**: We need to find \( f(3, 4) \). This means we will substitute \( x = 3 \) and \( y = 4 \) into the function. \[ f(3, 4) = 2(3) + 4 \] 3. **Calculate \( 2(3) \)**: \[ 2(3) = 6 \] 4. **Add \( 4 \) to the result**: \[ 6 + 4 = 10 \] 5. **Final result**: Therefore, the value of \( f(3, 4) \) is \( 10 \). ### Conclusion: The value of \( f(3, 4) \) is \( 10 \). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f and g are defined as f(x) = 2x - 3 and g(x) = x + 3//2 . For what value of y is f(y) = g(y- 3) ?

The function f and g are defined as f(x , y) euqals average of x and y and g(x, y) equals the greater of the number x and y. Then f(3,4) + g(3,4) =

{:("Column A" , "The functons f and g are defined as","ColumnB"),(, f(x,y) = 2x + y and g(x,y) = x + 2y,),( f(4,3), ,g(4,3)):}

Given that f(x) = 4 x ^2 and g (x) =3-(x)/(2) , what is the value of f(g(4)) ?

A function f : R rarr defined by f(x) = x^(2) . Determine {y : f(y) = - 1}

Let a function of 2 variables be defined by g(x, y)=xy+3xy^(2)-(x-y^(2)) , what is the value of g(2, -1) ?

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))

f(x)=7x-3 g(x)=x^(2)-2x+6 The function f and g are defined abvoe. What is the value of f(11)-g(4) ?

Let f and g be two real values functions defined by f ( x ) = x + 1 and g ( x ) = 2 x − 3 . Find 1) f + g , 2) f − g , 3) f / g

f(x)=5x+3 g(x)=x^(2)-5x+2 The functions f and g are defined above. What is the value of f(10)-g(5) ?