SOLUTION: Let h(t)=5-t^2, evaluate the following. Write your answers as order pairs. h(2/3)

Question 126444This question is from textbook Intermediate Algebra Review
: Let h(t)=5-t^2, evaluate the following. Write your answers as order pairs.
h(2/3) This question is from textbook Intermediate Algebra Review

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
You are given:
.
h(t) = 5 - t^2
.
and you are to find h(2/3). All this is telling you to do is to go to the given function
for h(t) and for both sides wherever you see a "t" you substitute 2/3. Then you just
simplify the terms.
.
In this problem you start with the function:
.
h(t) = 5 - t^2
.
for every t in this function you substitute 2/3 and you get:
.
h(2/3) = 5 - (2/3)^2
.
Next, on the right side square the 2/3 and you get 4/9. Substitute 4/9 for (2/3)^2 and
the result is:
.
h(2/3) = 5 - 4/9
.
Finally, subtract 4/9 from 5 [equivalent to subtracting 4/9 from 4 9/9] and you get the
answer 4 5/9 ... that's read as "4 and 5-ninths" and it's equivalent to 41/9.
.
So the answer to this problem is:
.
h(2/3) = 4 5/9 = 41/9
.
Hope this helps you to understand the process of evaluating a function and what the notation
means. In this case h(2/3) means "find the value of h(t) when t equals 2/3."
.

RELATED QUESTIONS
h(t) = t^2 − t + 5 find... (answered by advanced_Learner)

A coin is tossed. If a head appears, a spinner that can land on any of the numbers from (answered by ikleyn)

If h(t)=t^2-2t find the following: h(2) H(-1)... (answered by checkley77)

Let g(x) = x√(64x^2+25) and h(t)=5/8 cot(t) for 0 (answered by stanbon)
Given T(x) = 9, find the following. (a) T(−3) = ? (b) T(0) = ? (c) T(2/7) = ? (answered by nerdybill)
1. Let a coin and a die be tossed; let the sample space S consists of the twelve... (answered by mananth)
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the... (answered by stanbon,josgarithmetic)
Hi. Can I have some help with functions? Evaluate the function at the indicated... (answered by ilana)
Evaluate. Write your answers as fractions -(5/3)^3 and... (answered by MathLover1)