Find the value of x so that the function has the given value. h(x) = -7x + 10; h(x) = 3 r(x) = (4)/(5) x+7; r(x) = -5

Question

Find the value of x so that the function has the given value.

h(x) = -7x + 10; h(x) = 3

r(x) =
`(4)/(5)` x+7; r(x) = -5

Answer 1

To find the value of x for the given functions, set the function equal to the given value and solve for x.

Step-by-step explanation:

To find the value of x so that the function h(x) equals 3, we can set the function equal to 3 and solve for x. Given h(x) = -7x + 10, we have -7x + 10 = 3. Subtracting 10 from both sides gives -7x = -7. Dividing both sides by -7 gives x = 1.

Similarly, to find the value of x so that the function r(x) equals -5, we set the function equal to -5 and solve for x. Given r(x) = (4/5)x + 7, we have (4/5)x + 7 = -5. Subtracting 7 from both sides gives (4/5)x = -12. Multiplying both sides by 5/4 gives x = -15.