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3 years ago

What is the value of k in the function f(x)=112-kx if f(-3)=121

Mathematics

2 answers:

Allisa [31]3 years ago

8 0

F(-3)=121=112-k(-3)

121=112+3k
minus 112 both sides
9=3k
divide by 3
k=3

Irina18 [472]3 years ago

6 0

Answer: The required value of k is 3.

Step-by-step explanation: We are given to find the value of k in the following function f(x) if $f(-3)=121:$

$f(x)=112-kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Substituting x = -3 in equation (i), we get

$f(-3)=112-k\times(-3)\\\\\Rightarrow 121=112+3k\\\\\Rightarrow 3k=121-112\\\\\Rightarrow 3k=9\\\\\Rightarrow k=\dfrac{9}{3}\\\\\Rightarrow k=3.$

Thus, the required value of k is 3.

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