Home
Class 12
MATHS
Several values for the functions g (x) a...


Several values for the functions g (x) and h (x) are shown in the table above. What is the value of `g (h(3))` ?

A

`-1`

B

0

C

3

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
The notation `g (h(x))` can be read "g of h of x." it means that the output when x is substituted in `h (x)` becomes the input for `g (x).` First use the table on the right to find that `h (3)` is 9. This is your new input. Now, use the table on the left to find `g (0),` which is `-1,` making (A) the correct answer.
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    KAPLAN|Exercise FUNCTION NOTATION|1 Videos

  • FUNCTIONS

    KAPLAN|Exercise GRAPHS OF FUNCTIONS|1 Videos

  • FUNCTIONS

    KAPLAN|Exercise DESCRIBING REAL-LIFE SITUATIONS WITH FUNCTIONS|1 Videos

  • EXPONENTS, RADICALS, POLYNOMIALS, AND RATIONAL EXPRESSIONS

    KAPLAN|Exercise RATIONAL EXPRESSIONS AND EQUATIONS|1 Videos

  • GEOMETRY

    KAPLAN|Exercise THREE-DIMENSIONAL FIGURES|1 Videos

Similar Questions

Explore conceptually related problems

Some values of the linear function f are shown in the table above. What is the value of f (3) ?

Some value of functions f and g are given by the tables above. What is the value of f(g(3)) ?

An exponential function g(x) is shown in the figure above. What is the exact value of g(-4)?

In the figure above, what is the value of h(0)-3 (g(1)-f(2)) ?

The function g is defined above. What is the value of g (-4x ) ?

The complete graph of the function f and a table of values for the function g are shown above. The maximum value of f is k.What is the value of g(k) ?

g(x)=2x-1 h(x)=1-g(x) The functions g and h are defined above. What is the value of h(0) ?

g(x)=2^(x) h(x)=8x^(2) if functions g and h are defined in the above equations, what is the value of g(h(3)) ?

Several values of x, and the corresponding values for polynomial functions f and g are shown in the table above. Which of the following statements is true? I. f(0)+g(0)=0 II. f(x) is divisible by x+2 III. g(x) is divisible by x+3.

Graphs of the functions f and g are shown in the xy-plane above. For which of the following values of x does f(x) + g(x) =0 ?

KAPLAN-FUNCTIONS -TRY ON YOUR OWN
  1. If f (x ) = 2x ^(2) + 7x -3, what is the value of g (-2) ?

    Text Solution

    |

  2. If k (x) =5x +2, what is the vlaue of k (4) - k(1) ?

    Text Solution

    |

  3. Several values for the functions g (x) and h (x) are shown in the tabl...

    Text Solution

    |

  4. If p (x) = x ^(2) -4x+8 and q 9x)=x-3, what is the value of (q (p (5))...

    Text Solution

    |

  5. The table shows some values of the linear functions f and and g. If h ...

    Text Solution

    |

  6. The above figure shown the function p (x) = |x|. Which statemetn about...

    Text Solution

    |

  7. The graph iof f (x) is shown above. Which of the following represents ...

    Text Solution

    |

  8. Based on the above graph, if the coordinates of the maximum of f (x) ...

    Text Solution

    |

  9. The graph of the linear function f has intercepts at (c,0) and (0,d) i...

    Text Solution

    |

  10. The complete graph of the function f is shown in the figure above. Whi...

    Text Solution

    |

  11. Paulo is ione of five contest finalists in the running for a year's wo...

    Text Solution

    |

  12. The graph above shows a compact car's fuel economy as a function of sp...

    Text Solution

    |

  13. The graph above Carmel's distance from home over a one-hour period, du...

    Text Solution

    |

  14. The entrance gates at a museum allow a constant number of visitors to ...

    Text Solution

    |

  15. An environmental agency is working to reduce the amount of plastic tha...

    Text Solution

    |

  16. Based on the figure above, what is the value of f (-2) + g(2) ?

    Text Solution

    |

  17. A company uses the function P (x) =150x - x ^(2) to determine how much...

    Text Solution

    |

  18. The customer service department of a wireless cellular provider has fo...

    Text Solution

    |

  19. A biologist is studying the effect of pollution on the reproduction of...

    Text Solution

    |

  20. If f (x) =3 -x and g (x) = (x ^(2))/(2), which of the following is NOT...

    Text Solution

    |