Answer:
first we need to substitute g(t) value in h(t) value and then evaluate the expression as follows :
h(g(t))=3(t-1)²+4(t-1).
by solving
h(g(t))=3(t²+1-2t)+4t-4
h(g(t))=3t²-2t-1 will.be the final answer
Answer:
y = 8x+8
Step-by-step explanation:
We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)
Slope formula is: 
Plug in the 2 points: 
Simplify: m = 8
So now, for the equation y = mx+b, we have m which is y = 8x+b
Now we need to find b by using another point from this linear function.
We can use the point (2,24).
Plug this point into the equation y = 8x+b
- 24 = 8(2)+b
- 24 = 16 + b
- b = 8
We have now found the equation of the linear function: y = 8x+8
The ratio of dates to peanuts is the same as cashews to raisins. Simplified, both ratios equal 1/2.
Let y be x, and x be y.
x = 4y - 8
Rearrange to make y the subject.
x + 8 = 4y
Therefore
y = (x + 8) / 4
is the inverse.