Larry is 4 times as old as his niece. Four years ago he was 6 times as old as his niece was then. Find each of their ages now

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Step-by-step explanation:

Let n represent the current age of the niece. Then 4n is Larry's current age. 4 years ago, the relationship was ...

  6(n -4) = 4n -4

  6n -24 = 4n -4

  2n = 20

  n = 10

Larry is 40; his niece is 10.

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)